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Finding the Fourth Proportional to 2,887.86, 4,332.26 and 1,427.02

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Solution

The fourth proportional to 2,887.86, 4,332.26 and 1,427.02 is: 2,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.86 : 4,332.26 = 1,427.02 : x
  2. Step 2: Convert to fraction form
    2,887.86/4,332.26 = 1,427.02/x
  3. Step 3: Cross multiply
    2,887.86x = 4,332.26 × 1,427.02
  4. Step 4: Simplify right side
    2,887.86x = 6,182,214.53
  5. Step 5: Solve for x
    x = 6,182,214.53/2,887.86
  6. Step 6: Final answer
    x = 2,140.76

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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.