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Finding the Fourth Proportional to 2,807.55, 4,211.85 and 959.19

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Solution

The fourth proportional to 2,807.55, 4,211.85 and 959.19 is: 1,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.55 : 4,211.85 = 959.19 : x
  2. Step 2: Convert to fraction form
    2,807.55/4,211.85 = 959.19/x
  3. Step 3: Cross multiply
    2,807.55x = 4,211.85 × 959.19
  4. Step 4: Simplify right side
    2,807.55x = 4,039,964.40
  5. Step 5: Solve for x
    x = 4,039,964.40/2,807.55
  6. Step 6: Final answer
    x = 1,438.96

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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.