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Finding the Fourth Proportional to 2,062.13, 2,845.74 and 1,178.00

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Solution

The fourth proportional to 2,062.13, 2,845.74 and 1,178.00 is: 1,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.13 : 2,845.74 = 1,178.00 : x
  2. Step 2: Convert to fraction form
    2,062.13/2,845.74 = 1,178.00/x
  3. Step 3: Cross multiply
    2,062.13x = 2,845.74 × 1,178.00
  4. Step 4: Simplify right side
    2,062.13x = 3,352,267.49
  5. Step 5: Solve for x
    x = 3,352,267.49/2,062.13
  6. Step 6: Final answer
    x = 1,625.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.