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Finding the Fourth Proportional to 2,538.12, 3,807.69 and 895.83

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Solution

The fourth proportional to 2,538.12, 3,807.69 and 895.83 is: 1,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.12 : 3,807.69 = 895.83 : x
  2. Step 2: Convert to fraction form
    2,538.12/3,807.69 = 895.83/x
  3. Step 3: Cross multiply
    2,538.12x = 3,807.69 × 895.83
  4. Step 4: Simplify right side
    2,538.12x = 3,411,042.93
  5. Step 5: Solve for x
    x = 3,411,042.93/2,538.12
  6. Step 6: Final answer
    x = 1,343.93

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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.