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Finding the Fourth Proportional to 2,045.52, 3,068.40 and 677.52

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Solution

The fourth proportional to 2,045.52, 3,068.40 and 677.52 is: 1,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.52 : 3,068.40 = 677.52 : x
  2. Step 2: Convert to fraction form
    2,045.52/3,068.40 = 677.52/x
  3. Step 3: Cross multiply
    2,045.52x = 3,068.40 × 677.52
  4. Step 4: Simplify right side
    2,045.52x = 2,078,902.37
  5. Step 5: Solve for x
    x = 2,078,902.37/2,045.52
  6. Step 6: Final answer
    x = 1,016.32

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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.