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Finding the Fourth Proportional to 2,326.88, 3,490.37 and 865.74

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Solution

The fourth proportional to 2,326.88, 3,490.37 and 865.74 is: 1,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.88 : 3,490.37 = 865.74 : x
  2. Step 2: Convert to fraction form
    2,326.88/3,490.37 = 865.74/x
  3. Step 3: Cross multiply
    2,326.88x = 3,490.37 × 865.74
  4. Step 4: Simplify right side
    2,326.88x = 3,021,742.86
  5. Step 5: Solve for x
    x = 3,021,742.86/2,326.88
  6. Step 6: Final answer
    x = 1,298.63

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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.