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Finding the Fourth Proportional to 1,437.45, 2,156.10 and 571.15

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Solution

The fourth proportional to 1,437.45, 2,156.10 and 571.15 is: 856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.45 : 2,156.10 = 571.15 : x
  2. Step 2: Convert to fraction form
    1,437.45/2,156.10 = 571.15/x
  3. Step 3: Cross multiply
    1,437.45x = 2,156.10 × 571.15
  4. Step 4: Simplify right side
    1,437.45x = 1,231,456.52
  5. Step 5: Solve for x
    x = 1,231,456.52/1,437.45
  6. Step 6: Final answer
    x = 856.70

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