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Finding the Fourth Proportional to 2,064.86, 3,097.76 and 895.06

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Solution

The fourth proportional to 2,064.86, 3,097.76 and 895.06 is: 1,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.86 : 3,097.76 = 895.06 : x
  2. Step 2: Convert to fraction form
    2,064.86/3,097.76 = 895.06/x
  3. Step 3: Cross multiply
    2,064.86x = 3,097.76 × 895.06
  4. Step 4: Simplify right side
    2,064.86x = 2,772,665.58
  5. Step 5: Solve for x
    x = 2,772,665.58/2,064.86
  6. Step 6: Final answer
    x = 1,342.79

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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.