Home / 1,577.16-2,363.90-847.26

Finding the Fourth Proportional to 1,577.16, 2,363.90 and 847.26

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Solution

The fourth proportional to 1,577.16, 2,363.90 and 847.26 is: 1,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.16 : 2,363.90 = 847.26 : x
  2. Step 2: Convert to fraction form
    1,577.16/2,363.90 = 847.26/x
  3. Step 3: Cross multiply
    1,577.16x = 2,363.90 × 847.26
  4. Step 4: Simplify right side
    1,577.16x = 2,002,833.68
  5. Step 5: Solve for x
    x = 2,002,833.68/1,577.16
  6. Step 6: Final answer
    x = 1,269.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.