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Finding the Fourth Proportional to 2,539.07, 3,809.17 and 895.63

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Solution

The fourth proportional to 2,539.07, 3,809.17 and 895.63 is: 1,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.07 : 3,809.17 = 895.63 : x
  2. Step 2: Convert to fraction form
    2,539.07/3,809.17 = 895.63/x
  3. Step 3: Cross multiply
    2,539.07x = 3,809.17 × 895.63
  4. Step 4: Simplify right side
    2,539.07x = 3,411,609.17
  5. Step 5: Solve for x
    x = 3,411,609.17/2,539.07
  6. Step 6: Final answer
    x = 1,343.65

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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.