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Finding the Fourth Proportional to 1,712.07, 2,362.03 and 1,265.02

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Solution

The fourth proportional to 1,712.07, 2,362.03 and 1,265.02 is: 1,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.07 : 2,362.03 = 1,265.02 : x
  2. Step 2: Convert to fraction form
    1,712.07/2,362.03 = 1,265.02/x
  3. Step 3: Cross multiply
    1,712.07x = 2,362.03 × 1,265.02
  4. Step 4: Simplify right side
    1,712.07x = 2,988,014.98
  5. Step 5: Solve for x
    x = 2,988,014.98/1,712.07
  6. Step 6: Final answer
    x = 1,745.26

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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.