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Finding the Fourth Proportional to 2,807.40, 4,211.10 and 958.44

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Solution

The fourth proportional to 2,807.40, 4,211.10 and 958.44 is: 1,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.40 : 4,211.10 = 958.44 : x
  2. Step 2: Convert to fraction form
    2,807.40/4,211.10 = 958.44/x
  3. Step 3: Cross multiply
    2,807.40x = 4,211.10 × 958.44
  4. Step 4: Simplify right side
    2,807.40x = 4,036,086.68
  5. Step 5: Solve for x
    x = 4,036,086.68/2,807.40
  6. Step 6: Final answer
    x = 1,437.66

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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.