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Finding the Fourth Proportional to 1,807.41, 2,704.29 and 1,102.11

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Solution

The fourth proportional to 1,807.41, 2,704.29 and 1,102.11 is: 1,648.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.41 : 2,704.29 = 1,102.11 : x
  2. Step 2: Convert to fraction form
    1,807.41/2,704.29 = 1,102.11/x
  3. Step 3: Cross multiply
    1,807.41x = 2,704.29 × 1,102.11
  4. Step 4: Simplify right side
    1,807.41x = 2,980,410.78
  5. Step 5: Solve for x
    x = 2,980,410.78/1,807.41
  6. Step 6: Final answer
    x = 1,648.99

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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.