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Finding the Fourth Proportional to 1,853.77, 2,778.83 and 880.55

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Solution

The fourth proportional to 1,853.77, 2,778.83 and 880.55 is: 1,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.77 : 2,778.83 = 880.55 : x
  2. Step 2: Convert to fraction form
    1,853.77/2,778.83 = 880.55/x
  3. Step 3: Cross multiply
    1,853.77x = 2,778.83 × 880.55
  4. Step 4: Simplify right side
    1,853.77x = 2,446,898.76
  5. Step 5: Solve for x
    x = 2,446,898.76/1,853.77
  6. Step 6: Final answer
    x = 1,319.96

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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.