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Finding the Fourth Proportional to 2,257.34, 3,384.28 and 1,070.78

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Solution

The fourth proportional to 2,257.34, 3,384.28 and 1,070.78 is: 1,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.34 : 3,384.28 = 1,070.78 : x
  2. Step 2: Convert to fraction form
    2,257.34/3,384.28 = 1,070.78/x
  3. Step 3: Cross multiply
    2,257.34x = 3,384.28 × 1,070.78
  4. Step 4: Simplify right side
    2,257.34x = 3,623,819.34
  5. Step 5: Solve for x
    x = 3,623,819.34/2,257.34
  6. Step 6: Final answer
    x = 1,605.35

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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.