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Finding the Fourth Proportional to 2,387.88, 3,582.66 and 744.84

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Solution

The fourth proportional to 2,387.88, 3,582.66 and 744.84 is: 1,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.88 : 3,582.66 = 744.84 : x
  2. Step 2: Convert to fraction form
    2,387.88/3,582.66 = 744.84/x
  3. Step 3: Cross multiply
    2,387.88x = 3,582.66 × 744.84
  4. Step 4: Simplify right side
    2,387.88x = 2,668,508.47
  5. Step 5: Solve for x
    x = 2,668,508.47/2,387.88
  6. Step 6: Final answer
    x = 1,117.52

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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.