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Finding the Fourth Proportional to 2,303.59, 3,450.33 and 1,903.74

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Solution

The fourth proportional to 2,303.59, 3,450.33 and 1,903.74 is: 2,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.59 : 3,450.33 = 1,903.74 : x
  2. Step 2: Convert to fraction form
    2,303.59/3,450.33 = 1,903.74/x
  3. Step 3: Cross multiply
    2,303.59x = 3,450.33 × 1,903.74
  4. Step 4: Simplify right side
    2,303.59x = 6,568,532.19
  5. Step 5: Solve for x
    x = 6,568,532.19/2,303.59
  6. Step 6: Final answer
    x = 2,851.43

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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.