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Finding the Fourth Proportional to 2,931.33, 4,397.00 and 983.53

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Solution

The fourth proportional to 2,931.33, 4,397.00 and 983.53 is: 1,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.33 : 4,397.00 = 983.53 : x
  2. Step 2: Convert to fraction form
    2,931.33/4,397.00 = 983.53/x
  3. Step 3: Cross multiply
    2,931.33x = 4,397.00 × 983.53
  4. Step 4: Simplify right side
    2,931.33x = 4,324,565.50
  5. Step 5: Solve for x
    x = 4,324,565.50/2,931.33
  6. Step 6: Final answer
    x = 1,475.29

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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.