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Finding the Fourth Proportional to 1,378.99, 1,904.55 and 936.12

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Solution

The fourth proportional to 1,378.99, 1,904.55 and 936.12 is: 1,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.99 : 1,904.55 = 936.12 : x
  2. Step 2: Convert to fraction form
    1,378.99/1,904.55 = 936.12/x
  3. Step 3: Cross multiply
    1,378.99x = 1,904.55 × 936.12
  4. Step 4: Simplify right side
    1,378.99x = 1,782,887.35
  5. Step 5: Solve for x
    x = 1,782,887.35/1,378.99
  6. Step 6: Final answer
    x = 1,292.89

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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.