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Finding the Fourth Proportional to 1,384.42, 1,911.42 and 1,296.26

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Solution

The fourth proportional to 1,384.42, 1,911.42 and 1,296.26 is: 1,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.42 : 1,911.42 = 1,296.26 : x
  2. Step 2: Convert to fraction form
    1,384.42/1,911.42 = 1,296.26/x
  3. Step 3: Cross multiply
    1,384.42x = 1,911.42 × 1,296.26
  4. Step 4: Simplify right side
    1,384.42x = 2,477,697.29
  5. Step 5: Solve for x
    x = 2,477,697.29/1,384.42
  6. Step 6: Final answer
    x = 1,789.70

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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.