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Finding the Fourth Proportional to 2,326.40, 3,488.16 and 1,094.08

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Solution

The fourth proportional to 2,326.40, 3,488.16 and 1,094.08 is: 1,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.40 : 3,488.16 = 1,094.08 : x
  2. Step 2: Convert to fraction form
    2,326.40/3,488.16 = 1,094.08/x
  3. Step 3: Cross multiply
    2,326.40x = 3,488.16 × 1,094.08
  4. Step 4: Simplify right side
    2,326.40x = 3,816,326.09
  5. Step 5: Solve for x
    x = 3,816,326.09/2,326.40
  6. Step 6: Final answer
    x = 1,640.44

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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.