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Finding the Fourth Proportional to 1,241.34, 1,863.18 and 592.50

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Solution

The fourth proportional to 1,241.34, 1,863.18 and 592.50 is: 889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.34 : 1,863.18 = 592.50 : x
  2. Step 2: Convert to fraction form
    1,241.34/1,863.18 = 592.50/x
  3. Step 3: Cross multiply
    1,241.34x = 1,863.18 × 592.50
  4. Step 4: Simplify right side
    1,241.34x = 1,103,934.15
  5. Step 5: Solve for x
    x = 1,103,934.15/1,241.34
  6. Step 6: Final answer
    x = 889.31

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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.