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Finding the Fourth Proportional to 2,425.96, 3,642.30 and 1,256.80

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Solution

The fourth proportional to 2,425.96, 3,642.30 and 1,256.80 is: 1,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.96 : 3,642.30 = 1,256.80 : x
  2. Step 2: Convert to fraction form
    2,425.96/3,642.30 = 1,256.80/x
  3. Step 3: Cross multiply
    2,425.96x = 3,642.30 × 1,256.80
  4. Step 4: Simplify right side
    2,425.96x = 4,577,642.64
  5. Step 5: Solve for x
    x = 4,577,642.64/2,425.96
  6. Step 6: Final answer
    x = 1,886.94

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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.