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Finding the Fourth Proportional to 2,296.56, 3,442.47 and 909.33

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Solution

The fourth proportional to 2,296.56, 3,442.47 and 909.33 is: 1,363.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.56 : 3,442.47 = 909.33 : x
  2. Step 2: Convert to fraction form
    2,296.56/3,442.47 = 909.33/x
  3. Step 3: Cross multiply
    2,296.56x = 3,442.47 × 909.33
  4. Step 4: Simplify right side
    2,296.56x = 3,130,341.25
  5. Step 5: Solve for x
    x = 3,130,341.25/2,296.56
  6. Step 6: Final answer
    x = 1,363.06

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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.