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Finding the Fourth Proportional to 3,038.50, 4,193.13 and 1,641.25

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Solution

The fourth proportional to 3,038.50, 4,193.13 and 1,641.25 is: 2,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.50 : 4,193.13 = 1,641.25 : x
  2. Step 2: Convert to fraction form
    3,038.50/4,193.13 = 1,641.25/x
  3. Step 3: Cross multiply
    3,038.50x = 4,193.13 × 1,641.25
  4. Step 4: Simplify right side
    3,038.50x = 6,881,974.61
  5. Step 5: Solve for x
    x = 6,881,974.61/3,038.50
  6. Step 6: Final answer
    x = 2,264.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.