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Finding the Fourth Proportional to 1,712.82, 2,363.36 and 1,014.24

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Solution

The fourth proportional to 1,712.82, 2,363.36 and 1,014.24 is: 1,399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.82 : 2,363.36 = 1,014.24 : x
  2. Step 2: Convert to fraction form
    1,712.82/2,363.36 = 1,014.24/x
  3. Step 3: Cross multiply
    1,712.82x = 2,363.36 × 1,014.24
  4. Step 4: Simplify right side
    1,712.82x = 2,397,009.18
  5. Step 5: Solve for x
    x = 2,397,009.18/1,712.82
  6. Step 6: Final answer
    x = 1,399.45

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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.