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Finding the Fourth Proportional to 1,390.57, 1,919.85 and 949.83

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Solution

The fourth proportional to 1,390.57, 1,919.85 and 949.83 is: 1,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.57 : 1,919.85 = 949.83 : x
  2. Step 2: Convert to fraction form
    1,390.57/1,919.85 = 949.83/x
  3. Step 3: Cross multiply
    1,390.57x = 1,919.85 × 949.83
  4. Step 4: Simplify right side
    1,390.57x = 1,823,525.71
  5. Step 5: Solve for x
    x = 1,823,525.71/1,390.57
  6. Step 6: Final answer
    x = 1,311.35

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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.