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Finding the Fourth Proportional to 2,966.42, 4,449.53 and 1,407.17

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Solution

The fourth proportional to 2,966.42, 4,449.53 and 1,407.17 is: 2,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.42 : 4,449.53 = 1,407.17 : x
  2. Step 2: Convert to fraction form
    2,966.42/4,449.53 = 1,407.17/x
  3. Step 3: Cross multiply
    2,966.42x = 4,449.53 × 1,407.17
  4. Step 4: Simplify right side
    2,966.42x = 6,261,259.77
  5. Step 5: Solve for x
    x = 6,261,259.77/2,966.42
  6. Step 6: Final answer
    x = 2,110.71

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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.