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Finding the Fourth Proportional to 1,567.35, 2,351.03 and 1,346.55

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Solution

The fourth proportional to 1,567.35, 2,351.03 and 1,346.55 is: 2,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.35 : 2,351.03 = 1,346.55 : x
  2. Step 2: Convert to fraction form
    1,567.35/2,351.03 = 1,346.55/x
  3. Step 3: Cross multiply
    1,567.35x = 2,351.03 × 1,346.55
  4. Step 4: Simplify right side
    1,567.35x = 3,165,772.71
  5. Step 5: Solve for x
    x = 3,165,772.71/1,567.35
  6. Step 6: Final answer
    x = 2,019.83

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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.