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Finding the Fourth Proportional to 3,101.68, 4,652.52 and 1,153.36

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Solution

The fourth proportional to 3,101.68, 4,652.52 and 1,153.36 is: 1,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.68 : 4,652.52 = 1,153.36 : x
  2. Step 2: Convert to fraction form
    3,101.68/4,652.52 = 1,153.36/x
  3. Step 3: Cross multiply
    3,101.68x = 4,652.52 × 1,153.36
  4. Step 4: Simplify right side
    3,101.68x = 5,366,030.47
  5. Step 5: Solve for x
    x = 5,366,030.47/3,101.68
  6. Step 6: Final answer
    x = 1,730.04

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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.