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Finding the Fourth Proportional to 2,344.68, 3,514.32 and 1,111.32

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Solution

The fourth proportional to 2,344.68, 3,514.32 and 1,111.32 is: 1,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.68 : 3,514.32 = 1,111.32 : x
  2. Step 2: Convert to fraction form
    2,344.68/3,514.32 = 1,111.32/x
  3. Step 3: Cross multiply
    2,344.68x = 3,514.32 × 1,111.32
  4. Step 4: Simplify right side
    2,344.68x = 3,905,534.10
  5. Step 5: Solve for x
    x = 3,905,534.10/2,344.68
  6. Step 6: Final answer
    x = 1,665.70

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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.