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Finding the Fourth Proportional to 2,573.40, 3,859.20 and 1,340.40

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Solution

The fourth proportional to 2,573.40, 3,859.20 and 1,340.40 is: 2,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.40 : 3,859.20 = 1,340.40 : x
  2. Step 2: Convert to fraction form
    2,573.40/3,859.20 = 1,340.40/x
  3. Step 3: Cross multiply
    2,573.40x = 3,859.20 × 1,340.40
  4. Step 4: Simplify right side
    2,573.40x = 5,172,871.68
  5. Step 5: Solve for x
    x = 5,172,871.68/2,573.40
  6. Step 6: Final answer
    x = 2,010.13

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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.