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Finding the Fourth Proportional to 2,262.36, 3,393.36 and 876.36

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Solution

The fourth proportional to 2,262.36, 3,393.36 and 876.36 is: 1,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.36 : 3,393.36 = 876.36 : x
  2. Step 2: Convert to fraction form
    2,262.36/3,393.36 = 876.36/x
  3. Step 3: Cross multiply
    2,262.36x = 3,393.36 × 876.36
  4. Step 4: Simplify right side
    2,262.36x = 2,973,804.97
  5. Step 5: Solve for x
    x = 2,973,804.97/2,262.36
  6. Step 6: Final answer
    x = 1,314.47

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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.