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Finding the Fourth Proportional to 1,876.77, 2,812.63 and 999.14

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Solution

The fourth proportional to 1,876.77, 2,812.63 and 999.14 is: 1,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.77 : 2,812.63 = 999.14 : x
  2. Step 2: Convert to fraction form
    1,876.77/2,812.63 = 999.14/x
  3. Step 3: Cross multiply
    1,876.77x = 2,812.63 × 999.14
  4. Step 4: Simplify right side
    1,876.77x = 2,810,211.14
  5. Step 5: Solve for x
    x = 2,810,211.14/1,876.77
  6. Step 6: Final answer
    x = 1,497.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.