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Finding the Fourth Proportional to 1,408.57, 2,102.59 and 1,293.01

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Solution

The fourth proportional to 1,408.57, 2,102.59 and 1,293.01 is: 1,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.57 : 2,102.59 = 1,293.01 : x
  2. Step 2: Convert to fraction form
    1,408.57/2,102.59 = 1,293.01/x
  3. Step 3: Cross multiply
    1,408.57x = 2,102.59 × 1,293.01
  4. Step 4: Simplify right side
    1,408.57x = 2,718,673.13
  5. Step 5: Solve for x
    x = 2,718,673.13/1,408.57
  6. Step 6: Final answer
    x = 1,930.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.