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Finding the Fourth Proportional to 2,893, 4,340.24 and 841

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Solution

The fourth proportional to 2,893, 4,340.24 and 841 is: 1,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893 : 4,340.24 = 841 : x
  2. Step 2: Convert to fraction form
    2,893/4,340.24 = 841/x
  3. Step 3: Cross multiply
    2,893x = 4,340.24 × 841
  4. Step 4: Simplify right side
    2,893x = 3,650,141.84
  5. Step 5: Solve for x
    x = 3,650,141.84/2,893
  6. Step 6: Final answer
    x = 1,261.72

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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.