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Finding the Fourth Proportional to 1,597.72, 2,395.14 and 571.48

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Solution

The fourth proportional to 1,597.72, 2,395.14 and 571.48 is: 856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.72 : 2,395.14 = 571.48 : x
  2. Step 2: Convert to fraction form
    1,597.72/2,395.14 = 571.48/x
  3. Step 3: Cross multiply
    1,597.72x = 2,395.14 × 571.48
  4. Step 4: Simplify right side
    1,597.72x = 1,368,774.61
  5. Step 5: Solve for x
    x = 1,368,774.61/1,597.72
  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.