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Finding the Fourth Proportional to 1,567.90, 2,162.81 and 1,409.34

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Solution

The fourth proportional to 1,567.90, 2,162.81 and 1,409.34 is: 1,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.90 : 2,162.81 = 1,409.34 : x
  2. Step 2: Convert to fraction form
    1,567.90/2,162.81 = 1,409.34/x
  3. Step 3: Cross multiply
    1,567.90x = 2,162.81 × 1,409.34
  4. Step 4: Simplify right side
    1,567.90x = 3,048,138.17
  5. Step 5: Solve for x
    x = 3,048,138.17/1,567.90
  6. Step 6: Final answer
    x = 1,944.09

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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.