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Finding the Fourth Proportional to 2,097.36, 3,145.66 and 616.28

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Solution

The fourth proportional to 2,097.36, 3,145.66 and 616.28 is: 924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.36 : 3,145.66 = 616.28 : x
  2. Step 2: Convert to fraction form
    2,097.36/3,145.66 = 616.28/x
  3. Step 3: Cross multiply
    2,097.36x = 3,145.66 × 616.28
  4. Step 4: Simplify right side
    2,097.36x = 1,938,590.08
  5. Step 5: Solve for x
    x = 1,938,590.08/2,097.36
  6. Step 6: Final answer
    x = 924.30

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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.