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Finding the Fourth Proportional to 1,411.95, 2,114.28 and 974.55

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Solution

The fourth proportional to 1,411.95, 2,114.28 and 974.55 is: 1,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.95 : 2,114.28 = 974.55 : x
  2. Step 2: Convert to fraction form
    1,411.95/2,114.28 = 974.55/x
  3. Step 3: Cross multiply
    1,411.95x = 2,114.28 × 974.55
  4. Step 4: Simplify right side
    1,411.95x = 2,060,471.57
  5. Step 5: Solve for x
    x = 2,060,471.57/1,411.95
  6. Step 6: Final answer
    x = 1,459.31

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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.