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Finding the Fourth Proportional to 2,242.16, 3,363.25 and 1,071.89

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Solution

The fourth proportional to 2,242.16, 3,363.25 and 1,071.89 is: 1,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.16 : 3,363.25 = 1,071.89 : x
  2. Step 2: Convert to fraction form
    2,242.16/3,363.25 = 1,071.89/x
  3. Step 3: Cross multiply
    2,242.16x = 3,363.25 × 1,071.89
  4. Step 4: Simplify right side
    2,242.16x = 3,605,038.63
  5. Step 5: Solve for x
    x = 3,605,038.63/2,242.16
  6. Step 6: Final answer
    x = 1,607.84

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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.