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Finding the Fourth Proportional to 2,838.46, 4,259.31 and 1,106.68

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Solution

The fourth proportional to 2,838.46, 4,259.31 and 1,106.68 is: 1,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.46 : 4,259.31 = 1,106.68 : x
  2. Step 2: Convert to fraction form
    2,838.46/4,259.31 = 1,106.68/x
  3. Step 3: Cross multiply
    2,838.46x = 4,259.31 × 1,106.68
  4. Step 4: Simplify right side
    2,838.46x = 4,713,693.19
  5. Step 5: Solve for x
    x = 4,713,693.19/2,838.46
  6. Step 6: Final answer
    x = 1,660.65

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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.