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Finding the Fourth Proportional to 1,757.02, 2,635.01 and 1,448.10

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Solution

The fourth proportional to 1,757.02, 2,635.01 and 1,448.10 is: 2,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.02 : 2,635.01 = 1,448.10 : x
  2. Step 2: Convert to fraction form
    1,757.02/2,635.01 = 1,448.10/x
  3. Step 3: Cross multiply
    1,757.02x = 2,635.01 × 1,448.10
  4. Step 4: Simplify right side
    1,757.02x = 3,815,750.74
  5. Step 5: Solve for x
    x = 3,815,750.74/1,757.02
  6. Step 6: Final answer
    x = 2,171.72

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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.