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Finding the Fourth Proportional to 2,298.04, 3,445.11 and 912.35

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Solution

The fourth proportional to 2,298.04, 3,445.11 and 912.35 is: 1,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.04 : 3,445.11 = 912.35 : x
  2. Step 2: Convert to fraction form
    2,298.04/3,445.11 = 912.35/x
  3. Step 3: Cross multiply
    2,298.04x = 3,445.11 × 912.35
  4. Step 4: Simplify right side
    2,298.04x = 3,143,146.11
  5. Step 5: Solve for x
    x = 3,143,146.11/2,298.04
  6. Step 6: Final answer
    x = 1,367.75

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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.