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Finding the Fourth Proportional to 2,876.42, 4,314 and 1,316.36

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Solution

The fourth proportional to 2,876.42, 4,314 and 1,316.36 is: 1,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.42 : 4,314 = 1,316.36 : x
  2. Step 2: Convert to fraction form
    2,876.42/4,314 = 1,316.36/x
  3. Step 3: Cross multiply
    2,876.42x = 4,314 × 1,316.36
  4. Step 4: Simplify right side
    2,876.42x = 5,678,777.04
  5. Step 5: Solve for x
    x = 5,678,777.04/2,876.42
  6. Step 6: Final answer
    x = 1,974.25

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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.