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Finding the Fourth Proportional to 3,298.96, 4,948.32 and 990.40

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Solution

The fourth proportional to 3,298.96, 4,948.32 and 990.40 is: 1,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.96 : 4,948.32 = 990.40 : x
  2. Step 2: Convert to fraction form
    3,298.96/4,948.32 = 990.40/x
  3. Step 3: Cross multiply
    3,298.96x = 4,948.32 × 990.40
  4. Step 4: Simplify right side
    3,298.96x = 4,900,816.13
  5. Step 5: Solve for x
    x = 4,900,816.13/3,298.96
  6. Step 6: Final answer
    x = 1,485.56

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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.