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Finding the Fourth Proportional to 2,715.60, 4,071.84 and 1,156.72

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Solution

The fourth proportional to 2,715.60, 4,071.84 and 1,156.72 is: 1,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.60 : 4,071.84 = 1,156.72 : x
  2. Step 2: Convert to fraction form
    2,715.60/4,071.84 = 1,156.72/x
  3. Step 3: Cross multiply
    2,715.60x = 4,071.84 × 1,156.72
  4. Step 4: Simplify right side
    2,715.60x = 4,709,978.76
  5. Step 5: Solve for x
    x = 4,709,978.76/2,715.60
  6. Step 6: Final answer
    x = 1,734.42

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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.