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Finding the Fourth Proportional to 1,784.64, 2,461.19 and 1,195.97

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Solution

The fourth proportional to 1,784.64, 2,461.19 and 1,195.97 is: 1,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.64 : 2,461.19 = 1,195.97 : x
  2. Step 2: Convert to fraction form
    1,784.64/2,461.19 = 1,195.97/x
  3. Step 3: Cross multiply
    1,784.64x = 2,461.19 × 1,195.97
  4. Step 4: Simplify right side
    1,784.64x = 2,943,509.40
  5. Step 5: Solve for x
    x = 2,943,509.40/1,784.64
  6. Step 6: Final answer
    x = 1,649.36

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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.