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Finding the Fourth Proportional to 1,924.19, 2,886.42 and 657.23

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Solution

The fourth proportional to 1,924.19, 2,886.42 and 657.23 is: 985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.19 : 2,886.42 = 657.23 : x
  2. Step 2: Convert to fraction form
    1,924.19/2,886.42 = 657.23/x
  3. Step 3: Cross multiply
    1,924.19x = 2,886.42 × 657.23
  4. Step 4: Simplify right side
    1,924.19x = 1,897,027.38
  5. Step 5: Solve for x
    x = 1,897,027.38/1,924.19
  6. Step 6: Final answer
    x = 985.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.