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Finding the Fourth Proportional to 2,541.30, 3,809.52 and 897.41

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Solution

The fourth proportional to 2,541.30, 3,809.52 and 897.41 is: 1,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.30 : 3,809.52 = 897.41 : x
  2. Step 2: Convert to fraction form
    2,541.30/3,809.52 = 897.41/x
  3. Step 3: Cross multiply
    2,541.30x = 3,809.52 × 897.41
  4. Step 4: Simplify right side
    2,541.30x = 3,418,682.30
  5. Step 5: Solve for x
    x = 3,418,682.30/2,541.30
  6. Step 6: Final answer
    x = 1,345.25

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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.