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Finding the Fourth Proportional to 2,966.88, 4,447.88 and 1,731.24

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Solution

The fourth proportional to 2,966.88, 4,447.88 and 1,731.24 is: 2,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.88 : 4,447.88 = 1,731.24 : x
  2. Step 2: Convert to fraction form
    2,966.88/4,447.88 = 1,731.24/x
  3. Step 3: Cross multiply
    2,966.88x = 4,447.88 × 1,731.24
  4. Step 4: Simplify right side
    2,966.88x = 7,700,347.77
  5. Step 5: Solve for x
    x = 7,700,347.77/2,966.88
  6. Step 6: Final answer
    x = 2,595.44

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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.