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Finding the Fourth Proportional to 1,461.18, 2,193.09 and 1,066.22

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Solution

The fourth proportional to 1,461.18, 2,193.09 and 1,066.22 is: 1,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.18 : 2,193.09 = 1,066.22 : x
  2. Step 2: Convert to fraction form
    1,461.18/2,193.09 = 1,066.22/x
  3. Step 3: Cross multiply
    1,461.18x = 2,193.09 × 1,066.22
  4. Step 4: Simplify right side
    1,461.18x = 2,338,300.12
  5. Step 5: Solve for x
    x = 2,338,300.12/1,461.18
  6. Step 6: Final answer
    x = 1,600.28

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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.