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Finding the Fourth Proportional to 1,214.71, 1,818.54 and 1,029.62

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Solution

The fourth proportional to 1,214.71, 1,818.54 and 1,029.62 is: 1,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.71 : 1,818.54 = 1,029.62 : x
  2. Step 2: Convert to fraction form
    1,214.71/1,818.54 = 1,029.62/x
  3. Step 3: Cross multiply
    1,214.71x = 1,818.54 × 1,029.62
  4. Step 4: Simplify right side
    1,214.71x = 1,872,405.15
  5. Step 5: Solve for x
    x = 1,872,405.15/1,214.71
  6. Step 6: Final answer
    x = 1,541.44

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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.