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Finding the Fourth Proportional to 2,329.12, 3,493.68 and 597.75

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Solution

The fourth proportional to 2,329.12, 3,493.68 and 597.75 is: 896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.12 : 3,493.68 = 597.75 : x
  2. Step 2: Convert to fraction form
    2,329.12/3,493.68 = 597.75/x
  3. Step 3: Cross multiply
    2,329.12x = 3,493.68 × 597.75
  4. Step 4: Simplify right side
    2,329.12x = 2,088,329.75
  5. Step 5: Solve for x
    x = 2,088,329.75/2,329.12
  6. Step 6: Final answer
    x = 896.62

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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.