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Finding the Fourth Proportional to 1,502.92, 2,074.95 and 971.96

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Solution

The fourth proportional to 1,502.92, 2,074.95 and 971.96 is: 1,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.92 : 2,074.95 = 971.96 : x
  2. Step 2: Convert to fraction form
    1,502.92/2,074.95 = 971.96/x
  3. Step 3: Cross multiply
    1,502.92x = 2,074.95 × 971.96
  4. Step 4: Simplify right side
    1,502.92x = 2,016,763.54
  5. Step 5: Solve for x
    x = 2,016,763.54/1,502.92
  6. Step 6: Final answer
    x = 1,341.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.