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Finding the Fourth Proportional to 1,876.65, 2,590.88 and 1,288.05

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Solution

The fourth proportional to 1,876.65, 2,590.88 and 1,288.05 is: 1,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.65 : 2,590.88 = 1,288.05 : x
  2. Step 2: Convert to fraction form
    1,876.65/2,590.88 = 1,288.05/x
  3. Step 3: Cross multiply
    1,876.65x = 2,590.88 × 1,288.05
  4. Step 4: Simplify right side
    1,876.65x = 3,337,182.98
  5. Step 5: Solve for x
    x = 3,337,182.98/1,876.65
  6. Step 6: Final answer
    x = 1,778.27

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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.