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Finding the Fourth Proportional to 2,077.02, 3,115.62 and 616.19

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Solution

The fourth proportional to 2,077.02, 3,115.62 and 616.19 is: 924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.02 : 3,115.62 = 616.19 : x
  2. Step 2: Convert to fraction form
    2,077.02/3,115.62 = 616.19/x
  3. Step 3: Cross multiply
    2,077.02x = 3,115.62 × 616.19
  4. Step 4: Simplify right side
    2,077.02x = 1,919,798.31
  5. Step 5: Solve for x
    x = 1,919,798.31/2,077.02
  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.