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Finding the Fourth Proportional to 2,348.84, 3,523.47 and 617.47

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Solution

The fourth proportional to 2,348.84, 3,523.47 and 617.47 is: 926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.84 : 3,523.47 = 617.47 : x
  2. Step 2: Convert to fraction form
    2,348.84/3,523.47 = 617.47/x
  3. Step 3: Cross multiply
    2,348.84x = 3,523.47 × 617.47
  4. Step 4: Simplify right side
    2,348.84x = 2,175,634.93
  5. Step 5: Solve for x
    x = 2,175,634.93/2,348.84
  6. Step 6: Final answer
    x = 926.26

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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.