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Finding the Fourth Proportional to 2,041.29, 3,062.33 and 654.51

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Solution

The fourth proportional to 2,041.29, 3,062.33 and 654.51 is: 981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.29 : 3,062.33 = 654.51 : x
  2. Step 2: Convert to fraction form
    2,041.29/3,062.33 = 654.51/x
  3. Step 3: Cross multiply
    2,041.29x = 3,062.33 × 654.51
  4. Step 4: Simplify right side
    2,041.29x = 2,004,322.34
  5. Step 5: Solve for x
    x = 2,004,322.34/2,041.29
  6. Step 6: Final answer
    x = 981.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.