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Finding the Fourth Proportional to 2,656.48, 3,981.28 and 1,358.40

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Solution

The fourth proportional to 2,656.48, 3,981.28 and 1,358.40 is: 2,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.48 : 3,981.28 = 1,358.40 : x
  2. Step 2: Convert to fraction form
    2,656.48/3,981.28 = 1,358.40/x
  3. Step 3: Cross multiply
    2,656.48x = 3,981.28 × 1,358.40
  4. Step 4: Simplify right side
    2,656.48x = 5,408,170.75
  5. Step 5: Solve for x
    x = 5,408,170.75/2,656.48
  6. Step 6: Final answer
    x = 2,035.84

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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.