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Finding the Fourth Proportional to 1,741.84, 2,613.16 and 509.22

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Solution

The fourth proportional to 1,741.84, 2,613.16 and 509.22 is: 763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.84 : 2,613.16 = 509.22 : x
  2. Step 2: Convert to fraction form
    1,741.84/2,613.16 = 509.22/x
  3. Step 3: Cross multiply
    1,741.84x = 2,613.16 × 509.22
  4. Step 4: Simplify right side
    1,741.84x = 1,330,673.97
  5. Step 5: Solve for x
    x = 1,330,673.97/1,741.84
  6. Step 6: Final answer
    x = 763.95

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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.