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Finding the Fourth Proportional to 1,579.61, 2,180.01 and 880.98

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Solution

The fourth proportional to 1,579.61, 2,180.01 and 880.98 is: 1,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.61 : 2,180.01 = 880.98 : x
  2. Step 2: Convert to fraction form
    1,579.61/2,180.01 = 880.98/x
  3. Step 3: Cross multiply
    1,579.61x = 2,180.01 × 880.98
  4. Step 4: Simplify right side
    1,579.61x = 1,920,545.21
  5. Step 5: Solve for x
    x = 1,920,545.21/1,579.61
  6. Step 6: Final answer
    x = 1,215.84

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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.