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Finding the Fourth Proportional to 1,715.64, 2,572.34 and 1,128.86

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Solution

The fourth proportional to 1,715.64, 2,572.34 and 1,128.86 is: 1,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.64 : 2,572.34 = 1,128.86 : x
  2. Step 2: Convert to fraction form
    1,715.64/2,572.34 = 1,128.86/x
  3. Step 3: Cross multiply
    1,715.64x = 2,572.34 × 1,128.86
  4. Step 4: Simplify right side
    1,715.64x = 2,903,821.22
  5. Step 5: Solve for x
    x = 2,903,821.22/1,715.64
  6. Step 6: Final answer
    x = 1,692.56

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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.