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Finding the Fourth Proportional to 2,897.57, 4,347.16 and 951.14

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Solution

The fourth proportional to 2,897.57, 4,347.16 and 951.14 is: 1,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.57 : 4,347.16 = 951.14 : x
  2. Step 2: Convert to fraction form
    2,897.57/4,347.16 = 951.14/x
  3. Step 3: Cross multiply
    2,897.57x = 4,347.16 × 951.14
  4. Step 4: Simplify right side
    2,897.57x = 4,134,733.65
  5. Step 5: Solve for x
    x = 4,134,733.65/2,897.57
  6. Step 6: Final answer
    x = 1,426.97

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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.