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Finding the Fourth Proportional to 2,038.38, 3,058.66 and 805.81

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Solution

The fourth proportional to 2,038.38, 3,058.66 and 805.81 is: 1,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.38 : 3,058.66 = 805.81 : x
  2. Step 2: Convert to fraction form
    2,038.38/3,058.66 = 805.81/x
  3. Step 3: Cross multiply
    2,038.38x = 3,058.66 × 805.81
  4. Step 4: Simplify right side
    2,038.38x = 2,464,698.81
  5. Step 5: Solve for x
    x = 2,464,698.81/2,038.38
  6. Step 6: Final answer
    x = 1,209.15

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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.