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Finding the Fourth Proportional to 1,850, 2,776.37 and 876.10

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Solution

The fourth proportional to 1,850, 2,776.37 and 876.10 is: 1,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850 : 2,776.37 = 876.10 : x
  2. Step 2: Convert to fraction form
    1,850/2,776.37 = 876.10/x
  3. Step 3: Cross multiply
    1,850x = 2,776.37 × 876.10
  4. Step 4: Simplify right side
    1,850x = 2,432,373.38
  5. Step 5: Solve for x
    x = 2,432,373.38/1,850
  6. Step 6: Final answer
    x = 1,314.80

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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.