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Finding the Fourth Proportional to 1,712.02, 2,362.83 and 1,049.02

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Solution

The fourth proportional to 1,712.02, 2,362.83 and 1,049.02 is: 1,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.02 : 2,362.83 = 1,049.02 : x
  2. Step 2: Convert to fraction form
    1,712.02/2,362.83 = 1,049.02/x
  3. Step 3: Cross multiply
    1,712.02x = 2,362.83 × 1,049.02
  4. Step 4: Simplify right side
    1,712.02x = 2,478,655.93
  5. Step 5: Solve for x
    x = 2,478,655.93/1,712.02
  6. Step 6: Final answer
    x = 1,447.80

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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.