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Finding the Fourth Proportional to 1,472.67, 2,210.00 and 1,010.88

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Solution

The fourth proportional to 1,472.67, 2,210.00 and 1,010.88 is: 1,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.67 : 2,210.00 = 1,010.88 : x
  2. Step 2: Convert to fraction form
    1,472.67/2,210.00 = 1,010.88/x
  3. Step 3: Cross multiply
    1,472.67x = 2,210.00 × 1,010.88
  4. Step 4: Simplify right side
    1,472.67x = 2,234,039.75
  5. Step 5: Solve for x
    x = 2,234,039.75/1,472.67
  6. Step 6: Final answer
    x = 1,517.00

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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.