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Finding the Fourth Proportional to 2,076.04, 3,114.02 and 616.18

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Solution

The fourth proportional to 2,076.04, 3,114.02 and 616.18 is: 924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.04 : 3,114.02 = 616.18 : x
  2. Step 2: Convert to fraction form
    2,076.04/3,114.02 = 616.18/x
  3. Step 3: Cross multiply
    2,076.04x = 3,114.02 × 616.18
  4. Step 4: Simplify right side
    2,076.04x = 1,918,796.84
  5. Step 5: Solve for x
    x = 1,918,796.84/2,076.04
  6. Step 6: Final answer
    x = 924.26

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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.