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Finding the Fourth Proportional to 1,726.33, 2,589.95 and 904.38

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Solution

The fourth proportional to 1,726.33, 2,589.95 and 904.38 is: 1,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.33 : 2,589.95 = 904.38 : x
  2. Step 2: Convert to fraction form
    1,726.33/2,589.95 = 904.38/x
  3. Step 3: Cross multiply
    1,726.33x = 2,589.95 × 904.38
  4. Step 4: Simplify right side
    1,726.33x = 2,342,298.98
  5. Step 5: Solve for x
    x = 2,342,298.98/1,726.33
  6. Step 6: Final answer
    x = 1,356.81

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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.