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Finding the Fourth Proportional to 1,648.53, 2,451.60 and 1,596.63

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Solution

The fourth proportional to 1,648.53, 2,451.60 and 1,596.63 is: 2,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.53 : 2,451.60 = 1,596.63 : x
  2. Step 2: Convert to fraction form
    1,648.53/2,451.60 = 1,596.63/x
  3. Step 3: Cross multiply
    1,648.53x = 2,451.60 × 1,596.63
  4. Step 4: Simplify right side
    1,648.53x = 3,914,298.11
  5. Step 5: Solve for x
    x = 3,914,298.11/1,648.53
  6. Step 6: Final answer
    x = 2,374.42

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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.