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Finding the Fourth Proportional to 1,461.59, 2,189.91 and 883.25

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Solution

The fourth proportional to 1,461.59, 2,189.91 and 883.25 is: 1,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.59 : 2,189.91 = 883.25 : x
  2. Step 2: Convert to fraction form
    1,461.59/2,189.91 = 883.25/x
  3. Step 3: Cross multiply
    1,461.59x = 2,189.91 × 883.25
  4. Step 4: Simplify right side
    1,461.59x = 1,934,238.01
  5. Step 5: Solve for x
    x = 1,934,238.01/1,461.59
  6. Step 6: Final answer
    x = 1,323.38

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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.