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Finding the Fourth Proportional to 1,743.84, 2,616.15 and 574.21

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Solution

The fourth proportional to 1,743.84, 2,616.15 and 574.21 is: 861.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.84 : 2,616.15 = 574.21 : x
  2. Step 2: Convert to fraction form
    1,743.84/2,616.15 = 574.21/x
  3. Step 3: Cross multiply
    1,743.84x = 2,616.15 × 574.21
  4. Step 4: Simplify right side
    1,743.84x = 1,502,210.40
  5. Step 5: Solve for x
    x = 1,502,210.40/1,743.84
  6. Step 6: Final answer
    x = 861.44

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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.