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Finding the Fourth Proportional to 2,146.04, 3,219.20 and 913.30

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Solution

The fourth proportional to 2,146.04, 3,219.20 and 913.30 is: 1,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.04 : 3,219.20 = 913.30 : x
  2. Step 2: Convert to fraction form
    2,146.04/3,219.20 = 913.30/x
  3. Step 3: Cross multiply
    2,146.04x = 3,219.20 × 913.30
  4. Step 4: Simplify right side
    2,146.04x = 2,940,095.36
  5. Step 5: Solve for x
    x = 2,940,095.36/2,146.04
  6. Step 6: Final answer
    x = 1,370.01

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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.