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Finding the Fourth Proportional to 2,876.84, 4,313.88 and 1,316.36

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Solution

The fourth proportional to 2,876.84, 4,313.88 and 1,316.36 is: 1,973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.84 : 4,313.88 = 1,316.36 : x
  2. Step 2: Convert to fraction form
    2,876.84/4,313.88 = 1,316.36/x
  3. Step 3: Cross multiply
    2,876.84x = 4,313.88 × 1,316.36
  4. Step 4: Simplify right side
    2,876.84x = 5,678,619.08
  5. Step 5: Solve for x
    x = 5,678,619.08/2,876.84
  6. Step 6: Final answer
    x = 1,973.91

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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.