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Finding the Fourth Proportional to 1,590.08, 2,193.08 and 1,216.13

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Solution

The fourth proportional to 1,590.08, 2,193.08 and 1,216.13 is: 1,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.08 : 2,193.08 = 1,216.13 : x
  2. Step 2: Convert to fraction form
    1,590.08/2,193.08 = 1,216.13/x
  3. Step 3: Cross multiply
    1,590.08x = 2,193.08 × 1,216.13
  4. Step 4: Simplify right side
    1,590.08x = 2,667,067.94
  5. Step 5: Solve for x
    x = 2,667,067.94/1,590.08
  6. Step 6: Final answer
    x = 1,677.32

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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.