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Finding the Fourth Proportional to 2,972.66, 4,458.84 and 1,411.52

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Solution

The fourth proportional to 2,972.66, 4,458.84 and 1,411.52 is: 2,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.66 : 4,458.84 = 1,411.52 : x
  2. Step 2: Convert to fraction form
    2,972.66/4,458.84 = 1,411.52/x
  3. Step 3: Cross multiply
    2,972.66x = 4,458.84 × 1,411.52
  4. Step 4: Simplify right side
    2,972.66x = 6,293,741.84
  5. Step 5: Solve for x
    x = 6,293,741.84/2,972.66
  6. Step 6: Final answer
    x = 2,117.21

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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.