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Finding the Fourth Proportional to 2,042.83, 3,064.19 and 656.16

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Solution

The fourth proportional to 2,042.83, 3,064.19 and 656.16 is: 984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.83 : 3,064.19 = 656.16 : x
  2. Step 2: Convert to fraction form
    2,042.83/3,064.19 = 656.16/x
  3. Step 3: Cross multiply
    2,042.83x = 3,064.19 × 656.16
  4. Step 4: Simplify right side
    2,042.83x = 2,010,598.91
  5. Step 5: Solve for x
    x = 2,010,598.91/2,042.83
  6. Step 6: Final answer
    x = 984.22

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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.