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Finding the Fourth Proportional to 2,541.55, 3,812.41 and 875.66

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Solution

The fourth proportional to 2,541.55, 3,812.41 and 875.66 is: 1,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.55 : 3,812.41 = 875.66 : x
  2. Step 2: Convert to fraction form
    2,541.55/3,812.41 = 875.66/x
  3. Step 3: Cross multiply
    2,541.55x = 3,812.41 × 875.66
  4. Step 4: Simplify right side
    2,541.55x = 3,338,374.94
  5. Step 5: Solve for x
    x = 3,338,374.94/2,541.55
  6. Step 6: Final answer
    x = 1,313.52

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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.