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Finding the Fourth Proportional to 1,476.30, 2,212.02 and 1,042.68

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Solution

The fourth proportional to 1,476.30, 2,212.02 and 1,042.68 is: 1,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.30 : 2,212.02 = 1,042.68 : x
  2. Step 2: Convert to fraction form
    1,476.30/2,212.02 = 1,042.68/x
  3. Step 3: Cross multiply
    1,476.30x = 2,212.02 × 1,042.68
  4. Step 4: Simplify right side
    1,476.30x = 2,306,429.01
  5. Step 5: Solve for x
    x = 2,306,429.01/1,476.30
  6. Step 6: Final answer
    x = 1,562.30

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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.