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Finding the Fourth Proportional to 1,655.97, 2,479.50 and 874.35

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Solution

The fourth proportional to 1,655.97, 2,479.50 and 874.35 is: 1,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.97 : 2,479.50 = 874.35 : x
  2. Step 2: Convert to fraction form
    1,655.97/2,479.50 = 874.35/x
  3. Step 3: Cross multiply
    1,655.97x = 2,479.50 × 874.35
  4. Step 4: Simplify right side
    1,655.97x = 2,167,950.83
  5. Step 5: Solve for x
    x = 2,167,950.83/1,655.97
  6. Step 6: Final answer
    x = 1,309.17

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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.