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Finding the Fourth Proportional to 2,617.68, 3,612.45 and 1,438.86

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Solution

The fourth proportional to 2,617.68, 3,612.45 and 1,438.86 is: 1,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.68 : 3,612.45 = 1,438.86 : x
  2. Step 2: Convert to fraction form
    2,617.68/3,612.45 = 1,438.86/x
  3. Step 3: Cross multiply
    2,617.68x = 3,612.45 × 1,438.86
  4. Step 4: Simplify right side
    2,617.68x = 5,197,809.81
  5. Step 5: Solve for x
    x = 5,197,809.81/2,617.68
  6. Step 6: Final answer
    x = 1,985.66

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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.