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Finding the Fourth Proportional to 2,893.24, 4,339.90 and 841.24

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Solution

The fourth proportional to 2,893.24, 4,339.90 and 841.24 is: 1,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.24 : 4,339.90 = 841.24 : x
  2. Step 2: Convert to fraction form
    2,893.24/4,339.90 = 841.24/x
  3. Step 3: Cross multiply
    2,893.24x = 4,339.90 × 841.24
  4. Step 4: Simplify right side
    2,893.24x = 3,650,897.48
  5. Step 5: Solve for x
    x = 3,650,897.48/2,893.24
  6. Step 6: Final answer
    x = 1,261.87

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1.5x scale

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.