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Finding the Fourth Proportional to 1,388.77, 1,914.34 and 945.91

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Solution

The fourth proportional to 1,388.77, 1,914.34 and 945.91 is: 1,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.77 : 1,914.34 = 945.91 : x
  2. Step 2: Convert to fraction form
    1,388.77/1,914.34 = 945.91/x
  3. Step 3: Cross multiply
    1,388.77x = 1,914.34 × 945.91
  4. Step 4: Simplify right side
    1,388.77x = 1,810,793.35
  5. Step 5: Solve for x
    x = 1,810,793.35/1,388.77
  6. Step 6: Final answer
    x = 1,303.88

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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.