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Finding the Fourth Proportional to 2,894.57, 4,320.68 and 2,486.33

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Solution

The fourth proportional to 2,894.57, 4,320.68 and 2,486.33 is: 3,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.57 : 4,320.68 = 2,486.33 : x
  2. Step 2: Convert to fraction form
    2,894.57/4,320.68 = 2,486.33/x
  3. Step 3: Cross multiply
    2,894.57x = 4,320.68 × 2,486.33
  4. Step 4: Simplify right side
    2,894.57x = 10,742,653.32
  5. Step 5: Solve for x
    x = 10,742,653.32/2,894.57
  6. Step 6: Final answer
    x = 3,711.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.