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Finding the Fourth Proportional to 1,726.05, 2,588.13 and 685.02

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Solution

The fourth proportional to 1,726.05, 2,588.13 and 685.02 is: 1,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.05 : 2,588.13 = 685.02 : x
  2. Step 2: Convert to fraction form
    1,726.05/2,588.13 = 685.02/x
  3. Step 3: Cross multiply
    1,726.05x = 2,588.13 × 685.02
  4. Step 4: Simplify right side
    1,726.05x = 1,772,920.81
  5. Step 5: Solve for x
    x = 1,772,920.81/1,726.05
  6. Step 6: Final answer
    x = 1,027.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.