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Finding the Fourth Proportional to 1,919.70, 2,877.73 and 1,748.49

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Solution

The fourth proportional to 1,919.70, 2,877.73 and 1,748.49 is: 2,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.70 : 2,877.73 = 1,748.49 : x
  2. Step 2: Convert to fraction form
    1,919.70/2,877.73 = 1,748.49/x
  3. Step 3: Cross multiply
    1,919.70x = 2,877.73 × 1,748.49
  4. Step 4: Simplify right side
    1,919.70x = 5,031,666.96
  5. Step 5: Solve for x
    x = 5,031,666.96/1,919.70
  6. Step 6: Final answer
    x = 2,621.07

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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.