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Finding the Fourth Proportional to 2,242.59, 3,364.07 and 599.13

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Solution

The fourth proportional to 2,242.59, 3,364.07 and 599.13 is: 898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.59 : 3,364.07 = 599.13 : x
  2. Step 2: Convert to fraction form
    2,242.59/3,364.07 = 599.13/x
  3. Step 3: Cross multiply
    2,242.59x = 3,364.07 × 599.13
  4. Step 4: Simplify right side
    2,242.59x = 2,015,515.26
  5. Step 5: Solve for x
    x = 2,015,515.26/2,242.59
  6. Step 6: Final answer
    x = 898.74

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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.