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Finding the Fourth Proportional to 1,742.34, 2,612.19 and 701.55

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Solution

The fourth proportional to 1,742.34, 2,612.19 and 701.55 is: 1,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.34 : 2,612.19 = 701.55 : x
  2. Step 2: Convert to fraction form
    1,742.34/2,612.19 = 701.55/x
  3. Step 3: Cross multiply
    1,742.34x = 2,612.19 × 701.55
  4. Step 4: Simplify right side
    1,742.34x = 1,832,584.53
  5. Step 5: Solve for x
    x = 1,832,584.53/1,742.34
  6. Step 6: Final answer
    x = 1,051.79

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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.