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Finding the Fourth Proportional to 2,656.01, 3,987.08 and 1,425.81

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Solution

The fourth proportional to 2,656.01, 3,987.08 and 1,425.81 is: 2,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.01 : 3,987.08 = 1,425.81 : x
  2. Step 2: Convert to fraction form
    2,656.01/3,987.08 = 1,425.81/x
  3. Step 3: Cross multiply
    2,656.01x = 3,987.08 × 1,425.81
  4. Step 4: Simplify right side
    2,656.01x = 5,684,811.41
  5. Step 5: Solve for x
    x = 5,684,811.41/2,656.01
  6. Step 6: Final answer
    x = 2,140.36

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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.