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Finding the Fourth Proportional to 2,856.78, 4,283.96 and 1,007.46

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Solution

The fourth proportional to 2,856.78, 4,283.96 and 1,007.46 is: 1,510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.78 : 4,283.96 = 1,007.46 : x
  2. Step 2: Convert to fraction form
    2,856.78/4,283.96 = 1,007.46/x
  3. Step 3: Cross multiply
    2,856.78x = 4,283.96 × 1,007.46
  4. Step 4: Simplify right side
    2,856.78x = 4,315,918.34
  5. Step 5: Solve for x
    x = 4,315,918.34/2,856.78
  6. Step 6: Final answer
    x = 1,510.76

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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.