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Finding the Fourth Proportional to 2,038.98, 3,058.98 and 1,114.29

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Solution

The fourth proportional to 2,038.98, 3,058.98 and 1,114.29 is: 1,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.98 : 3,058.98 = 1,114.29 : x
  2. Step 2: Convert to fraction form
    2,038.98/3,058.98 = 1,114.29/x
  3. Step 3: Cross multiply
    2,038.98x = 3,058.98 × 1,114.29
  4. Step 4: Simplify right side
    2,038.98x = 3,408,590.82
  5. Step 5: Solve for x
    x = 3,408,590.82/2,038.98
  6. Step 6: Final answer
    x = 1,671.71

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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.