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Finding the Fourth Proportional to 3,047.84, 4,570.56 and 1,099.36

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Solution

The fourth proportional to 3,047.84, 4,570.56 and 1,099.36 is: 1,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.84 : 4,570.56 = 1,099.36 : x
  2. Step 2: Convert to fraction form
    3,047.84/4,570.56 = 1,099.36/x
  3. Step 3: Cross multiply
    3,047.84x = 4,570.56 × 1,099.36
  4. Step 4: Simplify right side
    3,047.84x = 5,024,690.84
  5. Step 5: Solve for x
    x = 5,024,690.84/3,047.84
  6. Step 6: Final answer
    x = 1,648.61

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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.