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Finding the Fourth Proportional to 3,071.02, 4,606.06 and 1,122.77

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Solution

The fourth proportional to 3,071.02, 4,606.06 and 1,122.77 is: 1,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.02 : 4,606.06 = 1,122.77 : x
  2. Step 2: Convert to fraction form
    3,071.02/4,606.06 = 1,122.77/x
  3. Step 3: Cross multiply
    3,071.02x = 4,606.06 × 1,122.77
  4. Step 4: Simplify right side
    3,071.02x = 5,171,545.99
  5. Step 5: Solve for x
    x = 5,171,545.99/3,071.02
  6. Step 6: Final answer
    x = 1,683.98

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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.