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Finding the Fourth Proportional to 2,951.70, 4,427.55 and 2,302.98

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Solution

The fourth proportional to 2,951.70, 4,427.55 and 2,302.98 is: 3,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.70 : 4,427.55 = 2,302.98 : x
  2. Step 2: Convert to fraction form
    2,951.70/4,427.55 = 2,302.98/x
  3. Step 3: Cross multiply
    2,951.70x = 4,427.55 × 2,302.98
  4. Step 4: Simplify right side
    2,951.70x = 10,196,559.10
  5. Step 5: Solve for x
    x = 10,196,559.10/2,951.70
  6. Step 6: Final answer
    x = 3,454.47

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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.