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Finding the Fourth Proportional to 2,924.80, 4,035.07 and 1,648.40

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Solution

The fourth proportional to 2,924.80, 4,035.07 and 1,648.40 is: 2,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.80 : 4,035.07 = 1,648.40 : x
  2. Step 2: Convert to fraction form
    2,924.80/4,035.07 = 1,648.40/x
  3. Step 3: Cross multiply
    2,924.80x = 4,035.07 × 1,648.40
  4. Step 4: Simplify right side
    2,924.80x = 6,651,409.39
  5. Step 5: Solve for x
    x = 6,651,409.39/2,924.80
  6. Step 6: Final answer
    x = 2,274.14

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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.