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Finding the Fourth Proportional to 2,077.90, 3,118 and 846.16

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Solution

The fourth proportional to 2,077.90, 3,118 and 846.16 is: 1,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.90 : 3,118 = 846.16 : x
  2. Step 2: Convert to fraction form
    2,077.90/3,118 = 846.16/x
  3. Step 3: Cross multiply
    2,077.90x = 3,118 × 846.16
  4. Step 4: Simplify right side
    2,077.90x = 2,638,326.88
  5. Step 5: Solve for x
    x = 2,638,326.88/2,077.90
  6. Step 6: Final answer
    x = 1,269.71

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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.