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Finding the Fourth Proportional to 2,867.52, 3,956.04 and 1,686.72

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Solution

The fourth proportional to 2,867.52, 3,956.04 and 1,686.72 is: 2,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.52 : 3,956.04 = 1,686.72 : x
  2. Step 2: Convert to fraction form
    2,867.52/3,956.04 = 1,686.72/x
  3. Step 3: Cross multiply
    2,867.52x = 3,956.04 × 1,686.72
  4. Step 4: Simplify right side
    2,867.52x = 6,672,731.79
  5. Step 5: Solve for x
    x = 6,672,731.79/2,867.52
  6. Step 6: Final answer
    x = 2,327.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.