Home / 1,281.60-1,921.26-502.14

Finding the Fourth Proportional to 1,281.60, 1,921.26 and 502.14

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Solution

The fourth proportional to 1,281.60, 1,921.26 and 502.14 is: 752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.60 : 1,921.26 = 502.14 : x
  2. Step 2: Convert to fraction form
    1,281.60/1,921.26 = 502.14/x
  3. Step 3: Cross multiply
    1,281.60x = 1,921.26 × 502.14
  4. Step 4: Simplify right side
    1,281.60x = 964,741.50
  5. Step 5: Solve for x
    x = 964,741.50/1,281.60
  6. Step 6: Final answer
    x = 752.76

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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.