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Finding the Fourth Proportional to 1,388.32, 2,076.72 and 1,042.72

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Solution

The fourth proportional to 1,388.32, 2,076.72 and 1,042.72 is: 1,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.32 : 2,076.72 = 1,042.72 : x
  2. Step 2: Convert to fraction form
    1,388.32/2,076.72 = 1,042.72/x
  3. Step 3: Cross multiply
    1,388.32x = 2,076.72 × 1,042.72
  4. Step 4: Simplify right side
    1,388.32x = 2,165,437.48
  5. Step 5: Solve for x
    x = 2,165,437.48/1,388.32
  6. Step 6: Final answer
    x = 1,559.75

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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.