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Finding the Fourth Proportional to 1,740.92, 2,401.65 and 1,077.53

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Solution

The fourth proportional to 1,740.92, 2,401.65 and 1,077.53 is: 1,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.92 : 2,401.65 = 1,077.53 : x
  2. Step 2: Convert to fraction form
    1,740.92/2,401.65 = 1,077.53/x
  3. Step 3: Cross multiply
    1,740.92x = 2,401.65 × 1,077.53
  4. Step 4: Simplify right side
    1,740.92x = 2,587,837.92
  5. Step 5: Solve for x
    x = 2,587,837.92/1,740.92
  6. Step 6: Final answer
    x = 1,486.48

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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.