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Finding the Fourth Proportional to 2,041.41, 3,060.93 and 654.42

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Solution

The fourth proportional to 2,041.41, 3,060.93 and 654.42 is: 981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.41 : 3,060.93 = 654.42 : x
  2. Step 2: Convert to fraction form
    2,041.41/3,060.93 = 654.42/x
  3. Step 3: Cross multiply
    2,041.41x = 3,060.93 × 654.42
  4. Step 4: Simplify right side
    2,041.41x = 2,003,133.81
  5. Step 5: Solve for x
    x = 2,003,133.81/2,041.41
  6. Step 6: Final answer
    x = 981.25

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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.