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Finding the Fourth Proportional to 1,924.01, 2,653.79 and 1,138.04

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Solution

The fourth proportional to 1,924.01, 2,653.79 and 1,138.04 is: 1,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.01 : 2,653.79 = 1,138.04 : x
  2. Step 2: Convert to fraction form
    1,924.01/2,653.79 = 1,138.04/x
  3. Step 3: Cross multiply
    1,924.01x = 2,653.79 × 1,138.04
  4. Step 4: Simplify right side
    1,924.01x = 3,020,100.21
  5. Step 5: Solve for x
    x = 3,020,100.21/1,924.01
  6. Step 6: Final answer
    x = 1,569.69

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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.