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Finding the Fourth Proportional to 1,700.22, 2,344.14 and 1,139.81

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Solution

The fourth proportional to 1,700.22, 2,344.14 and 1,139.81 is: 1,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.22 : 2,344.14 = 1,139.81 : x
  2. Step 2: Convert to fraction form
    1,700.22/2,344.14 = 1,139.81/x
  3. Step 3: Cross multiply
    1,700.22x = 2,344.14 × 1,139.81
  4. Step 4: Simplify right side
    1,700.22x = 2,671,862.49
  5. Step 5: Solve for x
    x = 2,671,862.49/1,700.22
  6. Step 6: Final answer
    x = 1,571.48

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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.