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Finding the Fourth Proportional to 2,921, 4,381.25 and 1,072.04

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Solution

The fourth proportional to 2,921, 4,381.25 and 1,072.04 is: 1,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921 : 4,381.25 = 1,072.04 : x
  2. Step 2: Convert to fraction form
    2,921/4,381.25 = 1,072.04/x
  3. Step 3: Cross multiply
    2,921x = 4,381.25 × 1,072.04
  4. Step 4: Simplify right side
    2,921x = 4,696,875.25
  5. Step 5: Solve for x
    x = 4,696,875.25/2,921
  6. Step 6: Final answer
    x = 1,607.97

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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.