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Finding the Fourth Proportional to 2,856.54, 4,272.96 and 2,681.58

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Solution

The fourth proportional to 2,856.54, 4,272.96 and 2,681.58 is: 4,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.54 : 4,272.96 = 2,681.58 : x
  2. Step 2: Convert to fraction form
    2,856.54/4,272.96 = 2,681.58/x
  3. Step 3: Cross multiply
    2,856.54x = 4,272.96 × 2,681.58
  4. Step 4: Simplify right side
    2,856.54x = 11,458,271.04
  5. Step 5: Solve for x
    x = 11,458,271.04/2,856.54
  6. Step 6: Final answer
    x = 4,011.24

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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.