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Finding the Fourth Proportional to 2,541.79, 3,811.62 and 897.59

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Solution

The fourth proportional to 2,541.79, 3,811.62 and 897.59 is: 1,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.79 : 3,811.62 = 897.59 : x
  2. Step 2: Convert to fraction form
    2,541.79/3,811.62 = 897.59/x
  3. Step 3: Cross multiply
    2,541.79x = 3,811.62 × 897.59
  4. Step 4: Simplify right side
    2,541.79x = 3,421,272.00
  5. Step 5: Solve for x
    x = 3,421,272.00/2,541.79
  6. Step 6: Final answer
    x = 1,346.01

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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.