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Finding the Fourth Proportional to 2,456.96, 3,684.48 and 1,088

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Solution

The fourth proportional to 2,456.96, 3,684.48 and 1,088 is: 1,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.96 : 3,684.48 = 1,088 : x
  2. Step 2: Convert to fraction form
    2,456.96/3,684.48 = 1,088/x
  3. Step 3: Cross multiply
    2,456.96x = 3,684.48 × 1,088
  4. Step 4: Simplify right side
    2,456.96x = 4,008,714.24
  5. Step 5: Solve for x
    x = 4,008,714.24/2,456.96
  6. Step 6: Final answer
    x = 1,631.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.