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Finding the Fourth Proportional to 2,832.84, 3,909.06 and 1,653.68

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Solution

The fourth proportional to 2,832.84, 3,909.06 and 1,653.68 is: 2,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.84 : 3,909.06 = 1,653.68 : x
  2. Step 2: Convert to fraction form
    2,832.84/3,909.06 = 1,653.68/x
  3. Step 3: Cross multiply
    2,832.84x = 3,909.06 × 1,653.68
  4. Step 4: Simplify right side
    2,832.84x = 6,464,344.11
  5. Step 5: Solve for x
    x = 6,464,344.11/2,832.84
  6. Step 6: Final answer
    x = 2,281.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.