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Finding the Fourth Proportional to 1,461.43, 2,189.02 and 1,182.58

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Solution

The fourth proportional to 1,461.43, 2,189.02 and 1,182.58 is: 1,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.43 : 2,189.02 = 1,182.58 : x
  2. Step 2: Convert to fraction form
    1,461.43/2,189.02 = 1,182.58/x
  3. Step 3: Cross multiply
    1,461.43x = 2,189.02 × 1,182.58
  4. Step 4: Simplify right side
    1,461.43x = 2,588,691.27
  5. Step 5: Solve for x
    x = 2,588,691.27/1,461.43
  6. Step 6: Final answer
    x = 1,771.35

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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.