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Finding the Fourth Proportional to 1,624.86, 2,241.07 and 1,094.31

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Solution

The fourth proportional to 1,624.86, 2,241.07 and 1,094.31 is: 1,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.86 : 2,241.07 = 1,094.31 : x
  2. Step 2: Convert to fraction form
    1,624.86/2,241.07 = 1,094.31/x
  3. Step 3: Cross multiply
    1,624.86x = 2,241.07 × 1,094.31
  4. Step 4: Simplify right side
    1,624.86x = 2,452,422.58
  5. Step 5: Solve for x
    x = 2,452,422.58/1,624.86
  6. Step 6: Final answer
    x = 1,509.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.