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Finding the Fourth Proportional to 1,577.46, 2,176.90 and 878.84

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Solution

The fourth proportional to 1,577.46, 2,176.90 and 878.84 is: 1,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.46 : 2,176.90 = 878.84 : x
  2. Step 2: Convert to fraction form
    1,577.46/2,176.90 = 878.84/x
  3. Step 3: Cross multiply
    1,577.46x = 2,176.90 × 878.84
  4. Step 4: Simplify right side
    1,577.46x = 1,913,141.88
  5. Step 5: Solve for x
    x = 1,913,141.88/1,577.46
  6. Step 6: Final answer
    x = 1,212.80

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1.5x scale

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.