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Finding the Fourth Proportional to 1,716.14, 2,572.67 and 838.15

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Solution

The fourth proportional to 1,716.14, 2,572.67 and 838.15 is: 1,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.14 : 2,572.67 = 838.15 : x
  2. Step 2: Convert to fraction form
    1,716.14/2,572.67 = 838.15/x
  3. Step 3: Cross multiply
    1,716.14x = 2,572.67 × 838.15
  4. Step 4: Simplify right side
    1,716.14x = 2,156,279.02
  5. Step 5: Solve for x
    x = 2,156,279.02/1,716.14
  6. Step 6: Final answer
    x = 1,256.47

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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.