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Finding the Fourth Proportional to 1,393.71, 2,088.74 and 1,044.30

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Solution

The fourth proportional to 1,393.71, 2,088.74 and 1,044.30 is: 1,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.71 : 2,088.74 = 1,044.30 : x
  2. Step 2: Convert to fraction form
    1,393.71/2,088.74 = 1,044.30/x
  3. Step 3: Cross multiply
    1,393.71x = 2,088.74 × 1,044.30
  4. Step 4: Simplify right side
    1,393.71x = 2,181,265.96
  5. Step 5: Solve for x
    x = 2,181,265.96/1,393.71
  6. Step 6: Final answer
    x = 1,565.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.