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Finding the Fourth Proportional to 2,114.60, 3,172.95 and 1,597.75

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Solution

The fourth proportional to 2,114.60, 3,172.95 and 1,597.75 is: 2,397.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.60 : 3,172.95 = 1,597.75 : x
  2. Step 2: Convert to fraction form
    2,114.60/3,172.95 = 1,597.75/x
  3. Step 3: Cross multiply
    2,114.60x = 3,172.95 × 1,597.75
  4. Step 4: Simplify right side
    2,114.60x = 5,069,572.93
  5. Step 5: Solve for x
    x = 5,069,572.93/2,114.60
  6. Step 6: Final answer
    x = 2,397.42

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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.