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Finding the Fourth Proportional to 1,476.78, 2,039.58 and 1,149.18

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Solution

The fourth proportional to 1,476.78, 2,039.58 and 1,149.18 is: 1,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.78 : 2,039.58 = 1,149.18 : x
  2. Step 2: Convert to fraction form
    1,476.78/2,039.58 = 1,149.18/x
  3. Step 3: Cross multiply
    1,476.78x = 2,039.58 × 1,149.18
  4. Step 4: Simplify right side
    1,476.78x = 2,343,844.54
  5. Step 5: Solve for x
    x = 2,343,844.54/1,476.78
  6. Step 6: Final answer
    x = 1,587.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.