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Finding the Fourth Proportional to 1,415.52, 2,117.88 and 850.53

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Solution

The fourth proportional to 1,415.52, 2,117.88 and 850.53 is: 1,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.52 : 2,117.88 = 850.53 : x
  2. Step 2: Convert to fraction form
    1,415.52/2,117.88 = 850.53/x
  3. Step 3: Cross multiply
    1,415.52x = 2,117.88 × 850.53
  4. Step 4: Simplify right side
    1,415.52x = 1,801,320.48
  5. Step 5: Solve for x
    x = 1,801,320.48/1,415.52
  6. Step 6: Final answer
    x = 1,272.55

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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.