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Finding the Fourth Proportional to 2,354.16, 3,252.96 and 1,689.86

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Solution

The fourth proportional to 2,354.16, 3,252.96 and 1,689.86 is: 2,335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.16 : 3,252.96 = 1,689.86 : x
  2. Step 2: Convert to fraction form
    2,354.16/3,252.96 = 1,689.86/x
  3. Step 3: Cross multiply
    2,354.16x = 3,252.96 × 1,689.86
  4. Step 4: Simplify right side
    2,354.16x = 5,497,030.72
  5. Step 5: Solve for x
    x = 5,497,030.72/2,354.16
  6. Step 6: Final answer
    x = 2,335.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.