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Finding the Fourth Proportional to 1,859.88, 2,567.10 and 1,271.22

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Solution

The fourth proportional to 1,859.88, 2,567.10 and 1,271.22 is: 1,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.88 : 2,567.10 = 1,271.22 : x
  2. Step 2: Convert to fraction form
    1,859.88/2,567.10 = 1,271.22/x
  3. Step 3: Cross multiply
    1,859.88x = 2,567.10 × 1,271.22
  4. Step 4: Simplify right side
    1,859.88x = 3,263,348.86
  5. Step 5: Solve for x
    x = 3,263,348.86/1,859.88
  6. Step 6: Final answer
    x = 1,754.60

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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.