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Finding the Fourth Proportional to 2,541.12, 3,810.72 and 897.36

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Solution

The fourth proportional to 2,541.12, 3,810.72 and 897.36 is: 1,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.12 : 3,810.72 = 897.36 : x
  2. Step 2: Convert to fraction form
    2,541.12/3,810.72 = 897.36/x
  3. Step 3: Cross multiply
    2,541.12x = 3,810.72 × 897.36
  4. Step 4: Simplify right side
    2,541.12x = 3,419,587.70
  5. Step 5: Solve for x
    x = 3,419,587.70/2,541.12
  6. Step 6: Final answer
    x = 1,345.70

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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.