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Finding the Fourth Proportional to 2,569.20, 3,852.90 and 837.36

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Solution

The fourth proportional to 2,569.20, 3,852.90 and 837.36 is: 1,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.20 : 3,852.90 = 837.36 : x
  2. Step 2: Convert to fraction form
    2,569.20/3,852.90 = 837.36/x
  3. Step 3: Cross multiply
    2,569.20x = 3,852.90 × 837.36
  4. Step 4: Simplify right side
    2,569.20x = 3,226,264.34
  5. Step 5: Solve for x
    x = 3,226,264.34/2,569.20
  6. Step 6: Final answer
    x = 1,255.75

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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.