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Finding the Fourth Proportional to 2,388.17, 3,582.23 and 744.71

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Solution

The fourth proportional to 2,388.17, 3,582.23 and 744.71 is: 1,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.17 : 3,582.23 = 744.71 : x
  2. Step 2: Convert to fraction form
    2,388.17/3,582.23 = 744.71/x
  3. Step 3: Cross multiply
    2,388.17x = 3,582.23 × 744.71
  4. Step 4: Simplify right side
    2,388.17x = 2,667,733.32
  5. Step 5: Solve for x
    x = 2,667,733.32/2,388.17
  6. Step 6: Final answer
    x = 1,117.06

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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.