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Finding the Fourth Proportional to 2,348.16, 3,522.23 and 616.78

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Solution

The fourth proportional to 2,348.16, 3,522.23 and 616.78 is: 925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.16 : 3,522.23 = 616.78 : x
  2. Step 2: Convert to fraction form
    2,348.16/3,522.23 = 616.78/x
  3. Step 3: Cross multiply
    2,348.16x = 3,522.23 × 616.78
  4. Step 4: Simplify right side
    2,348.16x = 2,172,448.12
  5. Step 5: Solve for x
    x = 2,172,448.12/2,348.16
  6. Step 6: Final answer
    x = 925.17

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Double scale
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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.