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Finding the Fourth Proportional to 2,041.90, 3,062.63 and 656.23

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Solution

The fourth proportional to 2,041.90, 3,062.63 and 656.23 is: 984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.90 : 3,062.63 = 656.23 : x
  2. Step 2: Convert to fraction form
    2,041.90/3,062.63 = 656.23/x
  3. Step 3: Cross multiply
    2,041.90x = 3,062.63 × 656.23
  4. Step 4: Simplify right side
    2,041.90x = 2,009,783.67
  5. Step 5: Solve for x
    x = 2,009,783.67/2,041.90
  6. Step 6: Final answer
    x = 984.27

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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.