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Finding the Fourth Proportional to 3,215.25, 4,823.07 and 906.93

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Solution

The fourth proportional to 3,215.25, 4,823.07 and 906.93 is: 1,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.25 : 4,823.07 = 906.93 : x
  2. Step 2: Convert to fraction form
    3,215.25/4,823.07 = 906.93/x
  3. Step 3: Cross multiply
    3,215.25x = 4,823.07 × 906.93
  4. Step 4: Simplify right side
    3,215.25x = 4,374,186.88
  5. Step 5: Solve for x
    x = 4,374,186.88/3,215.25
  6. Step 6: Final answer
    x = 1,360.45

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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.