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Finding the Fourth Proportional to 2,038.81, 3,058.44 and 651.82

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Solution

The fourth proportional to 2,038.81, 3,058.44 and 651.82 is: 977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.81 : 3,058.44 = 651.82 : x
  2. Step 2: Convert to fraction form
    2,038.81/3,058.44 = 651.82/x
  3. Step 3: Cross multiply
    2,038.81x = 3,058.44 × 651.82
  4. Step 4: Simplify right side
    2,038.81x = 1,993,552.36
  5. Step 5: Solve for x
    x = 1,993,552.36/2,038.81
  6. Step 6: Final answer
    x = 977.80

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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.