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Finding the Fourth Proportional to 2,713.47, 4,070.76 and 1,153.47

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Solution

The fourth proportional to 2,713.47, 4,070.76 and 1,153.47 is: 1,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.47 : 4,070.76 = 1,153.47 : x
  2. Step 2: Convert to fraction form
    2,713.47/4,070.76 = 1,153.47/x
  3. Step 3: Cross multiply
    2,713.47x = 4,070.76 × 1,153.47
  4. Step 4: Simplify right side
    2,713.47x = 4,695,499.54
  5. Step 5: Solve for x
    x = 4,695,499.54/2,713.47
  6. Step 6: Final answer
    x = 1,730.44

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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.