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Finding the Fourth Proportional to 1,241.79, 1,862.99 and 376.10

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Solution

The fourth proportional to 1,241.79, 1,862.99 and 376.10 is: 564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.79 : 1,862.99 = 376.10 : x
  2. Step 2: Convert to fraction form
    1,241.79/1,862.99 = 376.10/x
  3. Step 3: Cross multiply
    1,241.79x = 1,862.99 × 376.10
  4. Step 4: Simplify right side
    1,241.79x = 700,668.66
  5. Step 5: Solve for x
    x = 700,668.66/1,241.79
  6. Step 6: Final answer
    x = 564.24

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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.