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Finding the Fourth Proportional to 2,856.84, 4,287.90 and 1,763.34

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Solution

The fourth proportional to 2,856.84, 4,287.90 and 1,763.34 is: 2,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.84 : 4,287.90 = 1,763.34 : x
  2. Step 2: Convert to fraction form
    2,856.84/4,287.90 = 1,763.34/x
  3. Step 3: Cross multiply
    2,856.84x = 4,287.90 × 1,763.34
  4. Step 4: Simplify right side
    2,856.84x = 7,561,025.59
  5. Step 5: Solve for x
    x = 7,561,025.59/2,856.84
  6. Step 6: Final answer
    x = 2,646.64

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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.