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Finding the Fourth Proportional to 3,464.88, 4,781.52 and 1,893

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Solution

The fourth proportional to 3,464.88, 4,781.52 and 1,893 is: 2,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.88 : 4,781.52 = 1,893 : x
  2. Step 2: Convert to fraction form
    3,464.88/4,781.52 = 1,893/x
  3. Step 3: Cross multiply
    3,464.88x = 4,781.52 × 1,893
  4. Step 4: Simplify right side
    3,464.88x = 9,051,417.36
  5. Step 5: Solve for x
    x = 9,051,417.36/3,464.88
  6. Step 6: Final answer
    x = 2,612.33

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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.