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Finding the Fourth Proportional to 2,085.40, 3,115.40 and 1,622.08

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Solution

The fourth proportional to 2,085.40, 3,115.40 and 1,622.08 is: 2,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.40 : 3,115.40 = 1,622.08 : x
  2. Step 2: Convert to fraction form
    2,085.40/3,115.40 = 1,622.08/x
  3. Step 3: Cross multiply
    2,085.40x = 3,115.40 × 1,622.08
  4. Step 4: Simplify right side
    2,085.40x = 5,053,428.03
  5. Step 5: Solve for x
    x = 5,053,428.03/2,085.40
  6. Step 6: Final answer
    x = 2,423.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.