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Finding the Fourth Proportional to 2,919, 4,027.02 and 1,924.74

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Solution

The fourth proportional to 2,919, 4,027.02 and 1,924.74 is: 2,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919 : 4,027.02 = 1,924.74 : x
  2. Step 2: Convert to fraction form
    2,919/4,027.02 = 1,924.74/x
  3. Step 3: Cross multiply
    2,919x = 4,027.02 × 1,924.74
  4. Step 4: Simplify right side
    2,919x = 7,750,966.47
  5. Step 5: Solve for x
    x = 7,750,966.47/2,919
  6. Step 6: Final answer
    x = 2,655.35

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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.