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Finding the Fourth Proportional to 2,455.52, 3,388.96 and 1,408

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Solution

The fourth proportional to 2,455.52, 3,388.96 and 1,408 is: 1,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.52 : 3,388.96 = 1,408 : x
  2. Step 2: Convert to fraction form
    2,455.52/3,388.96 = 1,408/x
  3. Step 3: Cross multiply
    2,455.52x = 3,388.96 × 1,408
  4. Step 4: Simplify right side
    2,455.52x = 4,771,655.68
  5. Step 5: Solve for x
    x = 4,771,655.68/2,455.52
  6. Step 6: Final answer
    x = 1,943.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.