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Finding the Fourth Proportional to 1,742.42, 2,612.70 and 1,308.67

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Solution

The fourth proportional to 1,742.42, 2,612.70 and 1,308.67 is: 1,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.42 : 2,612.70 = 1,308.67 : x
  2. Step 2: Convert to fraction form
    1,742.42/2,612.70 = 1,308.67/x
  3. Step 3: Cross multiply
    1,742.42x = 2,612.70 × 1,308.67
  4. Step 4: Simplify right side
    1,742.42x = 3,419,155.58
  5. Step 5: Solve for x
    x = 3,419,155.58/1,742.42
  6. Step 6: Final answer
    x = 1,962.30

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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.