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Finding the Fourth Proportional to 1,641.60, 2,448.96 and 1,449.60

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Solution

The fourth proportional to 1,641.60, 2,448.96 and 1,449.60 is: 2,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.60 : 2,448.96 = 1,449.60 : x
  2. Step 2: Convert to fraction form
    1,641.60/2,448.96 = 1,449.60/x
  3. Step 3: Cross multiply
    1,641.60x = 2,448.96 × 1,449.60
  4. Step 4: Simplify right side
    1,641.60x = 3,550,012.42
  5. Step 5: Solve for x
    x = 3,550,012.42/1,641.60
  6. Step 6: Final answer
    x = 2,162.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.