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Finding the Fourth Proportional to 2,656.74, 3,987.27 and 1,358.58

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Solution

The fourth proportional to 2,656.74, 3,987.27 and 1,358.58 is: 2,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.74 : 3,987.27 = 1,358.58 : x
  2. Step 2: Convert to fraction form
    2,656.74/3,987.27 = 1,358.58/x
  3. Step 3: Cross multiply
    2,656.74x = 3,987.27 × 1,358.58
  4. Step 4: Simplify right side
    2,656.74x = 5,417,025.28
  5. Step 5: Solve for x
    x = 5,417,025.28/2,656.74
  6. Step 6: Final answer
    x = 2,038.97

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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.