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Finding the Fourth Proportional to 2,875.54, 4,312.40 and 1,231.65

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Solution

The fourth proportional to 2,875.54, 4,312.40 and 1,231.65 is: 1,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.54 : 4,312.40 = 1,231.65 : x
  2. Step 2: Convert to fraction form
    2,875.54/4,312.40 = 1,231.65/x
  3. Step 3: Cross multiply
    2,875.54x = 4,312.40 × 1,231.65
  4. Step 4: Simplify right side
    2,875.54x = 5,311,367.46
  5. Step 5: Solve for x
    x = 5,311,367.46/2,875.54
  6. Step 6: Final answer
    x = 1,847.09

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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.