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Finding the Fourth Proportional to 1,876.61, 2,816.64 and 1,763.57

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Solution

The fourth proportional to 1,876.61, 2,816.64 and 1,763.57 is: 2,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.61 : 2,816.64 = 1,763.57 : x
  2. Step 2: Convert to fraction form
    1,876.61/2,816.64 = 1,763.57/x
  3. Step 3: Cross multiply
    1,876.61x = 2,816.64 × 1,763.57
  4. Step 4: Simplify right side
    1,876.61x = 4,967,348.85
  5. Step 5: Solve for x
    x = 4,967,348.85/1,876.61
  6. Step 6: Final answer
    x = 2,646.98

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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.