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Finding the Fourth Proportional to 3,126.61, 4,686.81 and 1,740.58

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Solution

The fourth proportional to 3,126.61, 4,686.81 and 1,740.58 is: 2,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.61 : 4,686.81 = 1,740.58 : x
  2. Step 2: Convert to fraction form
    3,126.61/4,686.81 = 1,740.58/x
  3. Step 3: Cross multiply
    3,126.61x = 4,686.81 × 1,740.58
  4. Step 4: Simplify right side
    3,126.61x = 8,157,767.75
  5. Step 5: Solve for x
    x = 8,157,767.75/3,126.61
  6. Step 6: Final answer
    x = 2,609.14

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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.