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Finding the Fourth Proportional to 1,786.02, 2,462.44 and 1,155.48

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Solution

The fourth proportional to 1,786.02, 2,462.44 and 1,155.48 is: 1,593.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.02 : 2,462.44 = 1,155.48 : x
  2. Step 2: Convert to fraction form
    1,786.02/2,462.44 = 1,155.48/x
  3. Step 3: Cross multiply
    1,786.02x = 2,462.44 × 1,155.48
  4. Step 4: Simplify right side
    1,786.02x = 2,845,300.17
  5. Step 5: Solve for x
    x = 2,845,300.17/1,786.02
  6. Step 6: Final answer
    x = 1,593.10

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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.