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Finding the Fourth Proportional to 2,077.64, 3,116.12 and 845.00

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Solution

The fourth proportional to 2,077.64, 3,116.12 and 845.00 is: 1,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.64 : 3,116.12 = 845.00 : x
  2. Step 2: Convert to fraction form
    2,077.64/3,116.12 = 845.00/x
  3. Step 3: Cross multiply
    2,077.64x = 3,116.12 × 845.00
  4. Step 4: Simplify right side
    2,077.64x = 2,633,101.59
  5. Step 5: Solve for x
    x = 2,633,101.59/2,077.64
  6. Step 6: Final answer
    x = 1,267.36

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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.