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Finding the Fourth Proportional to 1,399.72, 1,930.51 and 902.41

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Solution

The fourth proportional to 1,399.72, 1,930.51 and 902.41 is: 1,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.72 : 1,930.51 = 902.41 : x
  2. Step 2: Convert to fraction form
    1,399.72/1,930.51 = 902.41/x
  3. Step 3: Cross multiply
    1,399.72x = 1,930.51 × 902.41
  4. Step 4: Simplify right side
    1,399.72x = 1,742,111.53
  5. Step 5: Solve for x
    x = 1,742,111.53/1,399.72
  6. Step 6: Final answer
    x = 1,244.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.