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Finding the Fourth Proportional to 2,388.68, 3,582.63 and 656.90

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Solution

The fourth proportional to 2,388.68, 3,582.63 and 656.90 is: 985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.68 : 3,582.63 = 656.90 : x
  2. Step 2: Convert to fraction form
    2,388.68/3,582.63 = 656.90/x
  3. Step 3: Cross multiply
    2,388.68x = 3,582.63 × 656.90
  4. Step 4: Simplify right side
    2,388.68x = 2,353,411.73
  5. Step 5: Solve for x
    x = 2,353,411.73/2,388.68
  6. Step 6: Final answer
    x = 985.24

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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.