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Finding the Fourth Proportional to 2,460.84, 3,693.38 and 1,291.66

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Solution

The fourth proportional to 2,460.84, 3,693.38 and 1,291.66 is: 1,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.84 : 3,693.38 = 1,291.66 : x
  2. Step 2: Convert to fraction form
    2,460.84/3,693.38 = 1,291.66/x
  3. Step 3: Cross multiply
    2,460.84x = 3,693.38 × 1,291.66
  4. Step 4: Simplify right side
    2,460.84x = 4,770,575.52
  5. Step 5: Solve for x
    x = 4,770,575.52/2,460.84
  6. Step 6: Final answer
    x = 1,938.60

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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.