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Finding the Fourth Proportional to 2,590.92, 3,886.42 and 947.46

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Solution

The fourth proportional to 2,590.92, 3,886.42 and 947.46 is: 1,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.92 : 3,886.42 = 947.46 : x
  2. Step 2: Convert to fraction form
    2,590.92/3,886.42 = 947.46/x
  3. Step 3: Cross multiply
    2,590.92x = 3,886.42 × 947.46
  4. Step 4: Simplify right side
    2,590.92x = 3,682,227.49
  5. Step 5: Solve for x
    x = 3,682,227.49/2,590.92
  6. Step 6: Final answer
    x = 1,421.21

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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.