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Finding the Fourth Proportional to 2,099.60, 3,148.56 and 638.24

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Solution

The fourth proportional to 2,099.60, 3,148.56 and 638.24 is: 957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.60 : 3,148.56 = 638.24 : x
  2. Step 2: Convert to fraction form
    2,099.60/3,148.56 = 638.24/x
  3. Step 3: Cross multiply
    2,099.60x = 3,148.56 × 638.24
  4. Step 4: Simplify right side
    2,099.60x = 2,009,536.93
  5. Step 5: Solve for x
    x = 2,009,536.93/2,099.60
  6. Step 6: Final answer
    x = 957.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.