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Finding the Fourth Proportional to 1,715.76, 2,572.44 and 1,130.96

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Solution

The fourth proportional to 1,715.76, 2,572.44 and 1,130.96 is: 1,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.76 : 2,572.44 = 1,130.96 : x
  2. Step 2: Convert to fraction form
    1,715.76/2,572.44 = 1,130.96/x
  3. Step 3: Cross multiply
    1,715.76x = 2,572.44 × 1,130.96
  4. Step 4: Simplify right side
    1,715.76x = 2,909,328.93
  5. Step 5: Solve for x
    x = 2,909,328.93/1,715.76
  6. Step 6: Final answer
    x = 1,695.65

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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.