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Finding the Fourth Proportional to 2,344.86, 3,514.57 and 883.08

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Solution

The fourth proportional to 2,344.86, 3,514.57 and 883.08 is: 1,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.86 : 3,514.57 = 883.08 : x
  2. Step 2: Convert to fraction form
    2,344.86/3,514.57 = 883.08/x
  3. Step 3: Cross multiply
    2,344.86x = 3,514.57 × 883.08
  4. Step 4: Simplify right side
    2,344.86x = 3,103,646.48
  5. Step 5: Solve for x
    x = 3,103,646.48/2,344.86
  6. Step 6: Final answer
    x = 1,323.60

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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.