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Finding the Fourth Proportional to 2,247.84, 3,369.12 and 1,554.72

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Solution

The fourth proportional to 2,247.84, 3,369.12 and 1,554.72 is: 2,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.84 : 3,369.12 = 1,554.72 : x
  2. Step 2: Convert to fraction form
    2,247.84/3,369.12 = 1,554.72/x
  3. Step 3: Cross multiply
    2,247.84x = 3,369.12 × 1,554.72
  4. Step 4: Simplify right side
    2,247.84x = 5,238,038.25
  5. Step 5: Solve for x
    x = 5,238,038.25/2,247.84
  6. Step 6: Final answer
    x = 2,330.25

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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.