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Finding the Fourth Proportional to 1,712.88, 2,364.12 and 1,014.66

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Solution

The fourth proportional to 1,712.88, 2,364.12 and 1,014.66 is: 1,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.88 : 2,364.12 = 1,014.66 : x
  2. Step 2: Convert to fraction form
    1,712.88/2,364.12 = 1,014.66/x
  3. Step 3: Cross multiply
    1,712.88x = 2,364.12 × 1,014.66
  4. Step 4: Simplify right side
    1,712.88x = 2,398,778.00
  5. Step 5: Solve for x
    x = 2,398,778.00/1,712.88
  6. Step 6: Final answer
    x = 1,400.44

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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.