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Finding the Fourth Proportional to 2,978.31, 4,100.70 and 2,529.23

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Solution

The fourth proportional to 2,978.31, 4,100.70 and 2,529.23 is: 3,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.31 : 4,100.70 = 2,529.23 : x
  2. Step 2: Convert to fraction form
    2,978.31/4,100.70 = 2,529.23/x
  3. Step 3: Cross multiply
    2,978.31x = 4,100.70 × 2,529.23
  4. Step 4: Simplify right side
    2,978.31x = 10,371,613.46
  5. Step 5: Solve for x
    x = 10,371,613.46/2,978.31
  6. Step 6: Final answer
    x = 3,482.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.