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Finding the Fourth Proportional to 2,461.88, 3,693.33 and 1,162.64

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Solution

The fourth proportional to 2,461.88, 3,693.33 and 1,162.64 is: 1,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.88 : 3,693.33 = 1,162.64 : x
  2. Step 2: Convert to fraction form
    2,461.88/3,693.33 = 1,162.64/x
  3. Step 3: Cross multiply
    2,461.88x = 3,693.33 × 1,162.64
  4. Step 4: Simplify right side
    2,461.88x = 4,294,013.19
  5. Step 5: Solve for x
    x = 4,294,013.19/2,461.88
  6. Step 6: Final answer
    x = 1,744.20

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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.