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Finding the Fourth Proportional to 2,859.65, 4,289.56 and 1,012.04

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Solution

The fourth proportional to 2,859.65, 4,289.56 and 1,012.04 is: 1,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.65 : 4,289.56 = 1,012.04 : x
  2. Step 2: Convert to fraction form
    2,859.65/4,289.56 = 1,012.04/x
  3. Step 3: Cross multiply
    2,859.65x = 4,289.56 × 1,012.04
  4. Step 4: Simplify right side
    2,859.65x = 4,341,206.30
  5. Step 5: Solve for x
    x = 4,341,206.30/2,859.65
  6. Step 6: Final answer
    x = 1,518.09

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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.