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Finding the Fourth Proportional to 2,802.66, 4,204.01 and 1,158.32

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Solution

The fourth proportional to 2,802.66, 4,204.01 and 1,158.32 is: 1,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.66 : 4,204.01 = 1,158.32 : x
  2. Step 2: Convert to fraction form
    2,802.66/4,204.01 = 1,158.32/x
  3. Step 3: Cross multiply
    2,802.66x = 4,204.01 × 1,158.32
  4. Step 4: Simplify right side
    2,802.66x = 4,869,562.05
  5. Step 5: Solve for x
    x = 4,869,562.05/2,802.66
  6. Step 6: Final answer
    x = 1,737.48

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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.