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Finding the Fourth Proportional to 2,199.64, 3,298.23 and 738.01

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Solution

The fourth proportional to 2,199.64, 3,298.23 and 738.01 is: 1,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.64 : 3,298.23 = 738.01 : x
  2. Step 2: Convert to fraction form
    2,199.64/3,298.23 = 738.01/x
  3. Step 3: Cross multiply
    2,199.64x = 3,298.23 × 738.01
  4. Step 4: Simplify right side
    2,199.64x = 2,434,126.72
  5. Step 5: Solve for x
    x = 2,434,126.72/2,199.64
  6. Step 6: Final answer
    x = 1,106.60

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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.