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Finding the Fourth Proportional to 2,117.59, 3,179.68 and 2,024.01

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Solution

The fourth proportional to 2,117.59, 3,179.68 and 2,024.01 is: 3,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.59 : 3,179.68 = 2,024.01 : x
  2. Step 2: Convert to fraction form
    2,117.59/3,179.68 = 2,024.01/x
  3. Step 3: Cross multiply
    2,117.59x = 3,179.68 × 2,024.01
  4. Step 4: Simplify right side
    2,117.59x = 6,435,713.69
  5. Step 5: Solve for x
    x = 6,435,713.69/2,117.59
  6. Step 6: Final answer
    x = 3,039.16

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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.