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Finding the Fourth Proportional to 1,500.48, 2,239.62 and 1,408.14

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Solution

The fourth proportional to 1,500.48, 2,239.62 and 1,408.14 is: 2,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.48 : 2,239.62 = 1,408.14 : x
  2. Step 2: Convert to fraction form
    1,500.48/2,239.62 = 1,408.14/x
  3. Step 3: Cross multiply
    1,500.48x = 2,239.62 × 1,408.14
  4. Step 4: Simplify right side
    1,500.48x = 3,153,698.51
  5. Step 5: Solve for x
    x = 3,153,698.51/1,500.48
  6. Step 6: Final answer
    x = 2,101.79

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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.