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Finding the Fourth Proportional to 1,924.74, 2,889.99 and 1,146.06

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Solution

The fourth proportional to 1,924.74, 2,889.99 and 1,146.06 is: 1,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.74 : 2,889.99 = 1,146.06 : x
  2. Step 2: Convert to fraction form
    1,924.74/2,889.99 = 1,146.06/x
  3. Step 3: Cross multiply
    1,924.74x = 2,889.99 × 1,146.06
  4. Step 4: Simplify right side
    1,924.74x = 3,312,101.94
  5. Step 5: Solve for x
    x = 3,312,101.94/1,924.74
  6. Step 6: Final answer
    x = 1,720.80

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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.