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Finding the Fourth Proportional to 1,291.92, 1,937.97 and 561.54

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Solution

The fourth proportional to 1,291.92, 1,937.97 and 561.54 is: 842.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.92 : 1,937.97 = 561.54 : x
  2. Step 2: Convert to fraction form
    1,291.92/1,937.97 = 561.54/x
  3. Step 3: Cross multiply
    1,291.92x = 1,937.97 × 561.54
  4. Step 4: Simplify right side
    1,291.92x = 1,088,247.67
  5. Step 5: Solve for x
    x = 1,088,247.67/1,291.92
  6. Step 6: Final answer
    x = 842.35

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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.