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Finding the Fourth Proportional to 2,114.47, 3,172.01 and 653.74

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Solution

The fourth proportional to 2,114.47, 3,172.01 and 653.74 is: 980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.47 : 3,172.01 = 653.74 : x
  2. Step 2: Convert to fraction form
    2,114.47/3,172.01 = 653.74/x
  3. Step 3: Cross multiply
    2,114.47x = 3,172.01 × 653.74
  4. Step 4: Simplify right side
    2,114.47x = 2,073,650.69
  5. Step 5: Solve for x
    x = 2,073,650.69/2,114.47
  6. Step 6: Final answer
    x = 980.70

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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.