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Finding the Fourth Proportional to 2,461.68, 3,689.28 and 1,162.08

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Solution

The fourth proportional to 2,461.68, 3,689.28 and 1,162.08 is: 1,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.68 : 3,689.28 = 1,162.08 : x
  2. Step 2: Convert to fraction form
    2,461.68/3,689.28 = 1,162.08/x
  3. Step 3: Cross multiply
    2,461.68x = 3,689.28 × 1,162.08
  4. Step 4: Simplify right side
    2,461.68x = 4,287,238.50
  5. Step 5: Solve for x
    x = 4,287,238.50/2,461.68
  6. Step 6: Final answer
    x = 1,741.59

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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.