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Finding the Fourth Proportional to 2,810.70, 4,215.42 and 862.92

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Solution

The fourth proportional to 2,810.70, 4,215.42 and 862.92 is: 1,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.70 : 4,215.42 = 862.92 : x
  2. Step 2: Convert to fraction form
    2,810.70/4,215.42 = 862.92/x
  3. Step 3: Cross multiply
    2,810.70x = 4,215.42 × 862.92
  4. Step 4: Simplify right side
    2,810.70x = 3,637,570.23
  5. Step 5: Solve for x
    x = 3,637,570.23/2,810.70
  6. Step 6: Final answer
    x = 1,294.19

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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.