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Finding the Fourth Proportional to 2,303.02, 3,452.06 and 914.43

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Solution

The fourth proportional to 2,303.02, 3,452.06 and 914.43 is: 1,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.02 : 3,452.06 = 914.43 : x
  2. Step 2: Convert to fraction form
    2,303.02/3,452.06 = 914.43/x
  3. Step 3: Cross multiply
    2,303.02x = 3,452.06 × 914.43
  4. Step 4: Simplify right side
    2,303.02x = 3,156,667.23
  5. Step 5: Solve for x
    x = 3,156,667.23/2,303.02
  6. Step 6: Final answer
    x = 1,370.66

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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.