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Finding the Fourth Proportional to 2,302.36, 3,454.86 and 841.32

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Solution

The fourth proportional to 2,302.36, 3,454.86 and 841.32 is: 1,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.36 : 3,454.86 = 841.32 : x
  2. Step 2: Convert to fraction form
    2,302.36/3,454.86 = 841.32/x
  3. Step 3: Cross multiply
    2,302.36x = 3,454.86 × 841.32
  4. Step 4: Simplify right side
    2,302.36x = 2,906,642.82
  5. Step 5: Solve for x
    x = 2,906,642.82/2,302.36
  6. Step 6: Final answer
    x = 1,262.46

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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.