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Finding the Fourth Proportional to 2,349, 3,523.70 and 617.63

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Solution

The fourth proportional to 2,349, 3,523.70 and 617.63 is: 926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349 : 3,523.70 = 617.63 : x
  2. Step 2: Convert to fraction form
    2,349/3,523.70 = 617.63/x
  3. Step 3: Cross multiply
    2,349x = 3,523.70 × 617.63
  4. Step 4: Simplify right side
    2,349x = 2,176,326.76
  5. Step 5: Solve for x
    x = 2,176,326.76/2,349
  6. Step 6: Final answer
    x = 926.49

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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.