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Finding the Fourth Proportional to 2,349.18, 3,523.76 and 594.20

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Solution

The fourth proportional to 2,349.18, 3,523.76 and 594.20 is: 891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.18 : 3,523.76 = 594.20 : x
  2. Step 2: Convert to fraction form
    2,349.18/3,523.76 = 594.20/x
  3. Step 3: Cross multiply
    2,349.18x = 3,523.76 × 594.20
  4. Step 4: Simplify right side
    2,349.18x = 2,093,818.19
  5. Step 5: Solve for x
    x = 2,093,818.19/2,349.18
  6. Step 6: Final answer
    x = 891.30

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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.