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Finding the Fourth Proportional to 3,130.72, 4,696.70 and 1,399.34

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Solution

The fourth proportional to 3,130.72, 4,696.70 and 1,399.34 is: 2,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.72 : 4,696.70 = 1,399.34 : x
  2. Step 2: Convert to fraction form
    3,130.72/4,696.70 = 1,399.34/x
  3. Step 3: Cross multiply
    3,130.72x = 4,696.70 × 1,399.34
  4. Step 4: Simplify right side
    3,130.72x = 6,572,280.18
  5. Step 5: Solve for x
    x = 6,572,280.18/3,130.72
  6. Step 6: Final answer
    x = 2,099.29

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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.