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Finding the Fourth Proportional to 2,857.32, 4,283.10 and 1,008

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Solution

The fourth proportional to 2,857.32, 4,283.10 and 1,008 is: 1,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.32 : 4,283.10 = 1,008 : x
  2. Step 2: Convert to fraction form
    2,857.32/4,283.10 = 1,008/x
  3. Step 3: Cross multiply
    2,857.32x = 4,283.10 × 1,008
  4. Step 4: Simplify right side
    2,857.32x = 4,317,364.80
  5. Step 5: Solve for x
    x = 4,317,364.80/2,857.32
  6. Step 6: Final answer
    x = 1,510.98

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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.