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Finding the Fourth Proportional to 2,856.57, 4,288.82 and 1,470.89

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Solution

The fourth proportional to 2,856.57, 4,288.82 and 1,470.89 is: 2,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.57 : 4,288.82 = 1,470.89 : x
  2. Step 2: Convert to fraction form
    2,856.57/4,288.82 = 1,470.89/x
  3. Step 3: Cross multiply
    2,856.57x = 4,288.82 × 1,470.89
  4. Step 4: Simplify right side
    2,856.57x = 6,308,385.82
  5. Step 5: Solve for x
    x = 6,308,385.82/2,856.57
  6. Step 6: Final answer
    x = 2,208.38

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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.