Home / 1,742.15-2,613.29-509.53

Finding the Fourth Proportional to 1,742.15, 2,613.29 and 509.53

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Solution

The fourth proportional to 1,742.15, 2,613.29 and 509.53 is: 764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.15 : 2,613.29 = 509.53 : x
  2. Step 2: Convert to fraction form
    1,742.15/2,613.29 = 509.53/x
  3. Step 3: Cross multiply
    1,742.15x = 2,613.29 × 509.53
  4. Step 4: Simplify right side
    1,742.15x = 1,331,549.65
  5. Step 5: Solve for x
    x = 1,331,549.65/1,742.15
  6. Step 6: Final answer
    x = 764.31

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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.