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Finding the Fourth Proportional to 2,328.67, 3,493.02 and 597.30

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Solution

The fourth proportional to 2,328.67, 3,493.02 and 597.30 is: 895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.67 : 3,493.02 = 597.30 : x
  2. Step 2: Convert to fraction form
    2,328.67/3,493.02 = 597.30/x
  3. Step 3: Cross multiply
    2,328.67x = 3,493.02 × 597.30
  4. Step 4: Simplify right side
    2,328.67x = 2,086,369.99
  5. Step 5: Solve for x
    x = 2,086,369.99/2,328.67
  6. Step 6: Final answer
    x = 895.95

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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.