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Finding the Fourth Proportional to 1,577.26, 2,366.19 and 884.89

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Solution

The fourth proportional to 1,577.26, 2,366.19 and 884.89 is: 1,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.26 : 2,366.19 = 884.89 : x
  2. Step 2: Convert to fraction form
    1,577.26/2,366.19 = 884.89/x
  3. Step 3: Cross multiply
    1,577.26x = 2,366.19 × 884.89
  4. Step 4: Simplify right side
    1,577.26x = 2,093,817.87
  5. Step 5: Solve for x
    x = 2,093,817.87/1,577.26
  6. Step 6: Final answer
    x = 1,327.50

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1.5x scale

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.