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Finding the Fourth Proportional to 1,384.76, 1,910.62 and 943.11

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Solution

The fourth proportional to 1,384.76, 1,910.62 and 943.11 is: 1,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.76 : 1,910.62 = 943.11 : x
  2. Step 2: Convert to fraction form
    1,384.76/1,910.62 = 943.11/x
  3. Step 3: Cross multiply
    1,384.76x = 1,910.62 × 943.11
  4. Step 4: Simplify right side
    1,384.76x = 1,801,924.83
  5. Step 5: Solve for x
    x = 1,801,924.83/1,384.76
  6. Step 6: Final answer
    x = 1,301.25

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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.