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Finding the Fourth Proportional to 3,298.77, 4,948.16 and 1,653.06

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Solution

The fourth proportional to 3,298.77, 4,948.16 and 1,653.06 is: 2,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.77 : 4,948.16 = 1,653.06 : x
  2. Step 2: Convert to fraction form
    3,298.77/4,948.16 = 1,653.06/x
  3. Step 3: Cross multiply
    3,298.77x = 4,948.16 × 1,653.06
  4. Step 4: Simplify right side
    3,298.77x = 8,179,597.10
  5. Step 5: Solve for x
    x = 8,179,597.10/3,298.77
  6. Step 6: Final answer
    x = 2,479.59

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.