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Finding the Fourth Proportional to 2,856.29, 4,284.54 and 2,700.45

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Solution

The fourth proportional to 2,856.29, 4,284.54 and 2,700.45 is: 4,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.29 : 4,284.54 = 2,700.45 : x
  2. Step 2: Convert to fraction form
    2,856.29/4,284.54 = 2,700.45/x
  3. Step 3: Cross multiply
    2,856.29x = 4,284.54 × 2,700.45
  4. Step 4: Simplify right side
    2,856.29x = 11,570,186.04
  5. Step 5: Solve for x
    x = 11,570,186.04/2,856.29
  6. Step 6: Final answer
    x = 4,050.78

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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.