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Finding the Fourth Proportional to 2,262.34, 3,394.73 and 876.66

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Solution

The fourth proportional to 2,262.34, 3,394.73 and 876.66 is: 1,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.34 : 3,394.73 = 876.66 : x
  2. Step 2: Convert to fraction form
    2,262.34/3,394.73 = 876.66/x
  3. Step 3: Cross multiply
    2,262.34x = 3,394.73 × 876.66
  4. Step 4: Simplify right side
    2,262.34x = 2,976,024.00
  5. Step 5: Solve for x
    x = 2,976,024.00/2,262.34
  6. Step 6: Final answer
    x = 1,315.46

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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.