Home / 1,686.24-2,327.04-1,023.12

Finding the Fourth Proportional to 1,686.24, 2,327.04 and 1,023.12

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Solution

The fourth proportional to 1,686.24, 2,327.04 and 1,023.12 is: 1,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.24 : 2,327.04 = 1,023.12 : x
  2. Step 2: Convert to fraction form
    1,686.24/2,327.04 = 1,023.12/x
  3. Step 3: Cross multiply
    1,686.24x = 2,327.04 × 1,023.12
  4. Step 4: Simplify right side
    1,686.24x = 2,380,841.16
  5. Step 5: Solve for x
    x = 2,380,841.16/1,686.24
  6. Step 6: Final answer
    x = 1,411.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.