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Finding the Fourth Proportional to 3,046.22, 4,569.54 and 966.32

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Solution

The fourth proportional to 3,046.22, 4,569.54 and 966.32 is: 1,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.22 : 4,569.54 = 966.32 : x
  2. Step 2: Convert to fraction form
    3,046.22/4,569.54 = 966.32/x
  3. Step 3: Cross multiply
    3,046.22x = 4,569.54 × 966.32
  4. Step 4: Simplify right side
    3,046.22x = 4,415,637.89
  5. Step 5: Solve for x
    x = 4,415,637.89/3,046.22
  6. Step 6: Final answer
    x = 1,449.55

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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.