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Finding the Fourth Proportional to 2,853.40, 3,929.80 and 2,649.28

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Solution

The fourth proportional to 2,853.40, 3,929.80 and 2,649.28 is: 3,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.40 : 3,929.80 = 2,649.28 : x
  2. Step 2: Convert to fraction form
    2,853.40/3,929.80 = 2,649.28/x
  3. Step 3: Cross multiply
    2,853.40x = 3,929.80 × 2,649.28
  4. Step 4: Simplify right side
    2,853.40x = 10,411,140.54
  5. Step 5: Solve for x
    x = 10,411,140.54/2,853.40
  6. Step 6: Final answer
    x = 3,648.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.