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Finding the Fourth Proportional to 2,435.50, 3,363.74 and 1,648.18

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Solution

The fourth proportional to 2,435.50, 3,363.74 and 1,648.18 is: 2,276.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.50 : 3,363.74 = 1,648.18 : x
  2. Step 2: Convert to fraction form
    2,435.50/3,363.74 = 1,648.18/x
  3. Step 3: Cross multiply
    2,435.50x = 3,363.74 × 1,648.18
  4. Step 4: Simplify right side
    2,435.50x = 5,544,048.99
  5. Step 5: Solve for x
    x = 5,544,048.99/2,435.50
  6. Step 6: Final answer
    x = 2,276.35

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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.