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Finding the Fourth Proportional to 2,265.46, 3,397.80 and 599.60

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Solution

The fourth proportional to 2,265.46, 3,397.80 and 599.60 is: 899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.46 : 3,397.80 = 599.60 : x
  2. Step 2: Convert to fraction form
    2,265.46/3,397.80 = 599.60/x
  3. Step 3: Cross multiply
    2,265.46x = 3,397.80 × 599.60
  4. Step 4: Simplify right side
    2,265.46x = 2,037,320.88
  5. Step 5: Solve for x
    x = 2,037,320.88/2,265.46
  6. Step 6: Final answer
    x = 899.30

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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.