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Finding the Fourth Proportional to 2,552.92, 3,852.36 and 2,461.39

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Solution

The fourth proportional to 2,552.92, 3,852.36 and 2,461.39 is: 3,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.92 : 3,852.36 = 2,461.39 : x
  2. Step 2: Convert to fraction form
    2,552.92/3,852.36 = 2,461.39/x
  3. Step 3: Cross multiply
    2,552.92x = 3,852.36 × 2,461.39
  4. Step 4: Simplify right side
    2,552.92x = 9,482,160.38
  5. Step 5: Solve for x
    x = 9,482,160.38/2,552.92
  6. Step 6: Final answer
    x = 3,714.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.