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Finding the Fourth Proportional to 1,726.56, 2,578.14 and 1,357.20

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Solution

The fourth proportional to 1,726.56, 2,578.14 and 1,357.20 is: 2,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.56 : 2,578.14 = 1,357.20 : x
  2. Step 2: Convert to fraction form
    1,726.56/2,578.14 = 1,357.20/x
  3. Step 3: Cross multiply
    1,726.56x = 2,578.14 × 1,357.20
  4. Step 4: Simplify right side
    1,726.56x = 3,499,051.61
  5. Step 5: Solve for x
    x = 3,499,051.61/1,726.56
  6. Step 6: Final answer
    x = 2,026.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.