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Finding the Fourth Proportional to 2,322.18, 3,483.27 and 590.80

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Solution

The fourth proportional to 2,322.18, 3,483.27 and 590.80 is: 886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.18 : 3,483.27 = 590.80 : x
  2. Step 2: Convert to fraction form
    2,322.18/3,483.27 = 590.80/x
  3. Step 3: Cross multiply
    2,322.18x = 3,483.27 × 590.80
  4. Step 4: Simplify right side
    2,322.18x = 2,057,915.92
  5. Step 5: Solve for x
    x = 2,057,915.92/2,322.18
  6. Step 6: Final answer
    x = 886.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.