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Finding the Fourth Proportional to 1,402.58, 1,934.88 and 1,089.92

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Solution

The fourth proportional to 1,402.58, 1,934.88 and 1,089.92 is: 1,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.58 : 1,934.88 = 1,089.92 : x
  2. Step 2: Convert to fraction form
    1,402.58/1,934.88 = 1,089.92/x
  3. Step 3: Cross multiply
    1,402.58x = 1,934.88 × 1,089.92
  4. Step 4: Simplify right side
    1,402.58x = 2,108,864.41
  5. Step 5: Solve for x
    x = 2,108,864.41/1,402.58
  6. Step 6: Final answer
    x = 1,503.56

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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.