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Finding the Fourth Proportional to 2,551.04, 3,826.94 and 2,411

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Solution

The fourth proportional to 2,551.04, 3,826.94 and 2,411 is: 3,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.04 : 3,826.94 = 2,411 : x
  2. Step 2: Convert to fraction form
    2,551.04/3,826.94 = 2,411/x
  3. Step 3: Cross multiply
    2,551.04x = 3,826.94 × 2,411
  4. Step 4: Simplify right side
    2,551.04x = 9,226,752.34
  5. Step 5: Solve for x
    x = 9,226,752.34/2,551.04
  6. Step 6: Final answer
    x = 3,616.86

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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.