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Finding the Fourth Proportional to 1,875.65, 2,589.50 and 1,287.05

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Solution

The fourth proportional to 1,875.65, 2,589.50 and 1,287.05 is: 1,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.65 : 2,589.50 = 1,287.05 : x
  2. Step 2: Convert to fraction form
    1,875.65/2,589.50 = 1,287.05/x
  3. Step 3: Cross multiply
    1,875.65x = 2,589.50 × 1,287.05
  4. Step 4: Simplify right side
    1,875.65x = 3,332,815.98
  5. Step 5: Solve for x
    x = 3,332,815.98/1,875.65
  6. Step 6: Final answer
    x = 1,776.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.