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Finding the Fourth Proportional to 2,802.47, 4,204.21 and 1,158.12

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Solution

The fourth proportional to 2,802.47, 4,204.21 and 1,158.12 is: 1,737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.47 : 4,204.21 = 1,158.12 : x
  2. Step 2: Convert to fraction form
    2,802.47/4,204.21 = 1,158.12/x
  3. Step 3: Cross multiply
    2,802.47x = 4,204.21 × 1,158.12
  4. Step 4: Simplify right side
    2,802.47x = 4,868,979.69
  5. Step 5: Solve for x
    x = 4,868,979.69/2,802.47
  6. Step 6: Final answer
    x = 1,737.39

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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.