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Finding the Fourth Proportional to 2,101.64, 3,150.30 and 948.20

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Solution

The fourth proportional to 2,101.64, 3,150.30 and 948.20 is: 1,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.64 : 3,150.30 = 948.20 : x
  2. Step 2: Convert to fraction form
    2,101.64/3,150.30 = 948.20/x
  3. Step 3: Cross multiply
    2,101.64x = 3,150.30 × 948.20
  4. Step 4: Simplify right side
    2,101.64x = 2,987,114.46
  5. Step 5: Solve for x
    x = 2,987,114.46/2,101.64
  6. Step 6: Final answer
    x = 1,421.33

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