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Finding the Fourth Proportional to 1,726.32, 2,578.81 and 1,552.71

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Solution

The fourth proportional to 1,726.32, 2,578.81 and 1,552.71 is: 2,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.32 : 2,578.81 = 1,552.71 : x
  2. Step 2: Convert to fraction form
    1,726.32/2,578.81 = 1,552.71/x
  3. Step 3: Cross multiply
    1,726.32x = 2,578.81 × 1,552.71
  4. Step 4: Simplify right side
    1,726.32x = 4,004,140.19
  5. Step 5: Solve for x
    x = 4,004,140.19/1,726.32
  6. Step 6: Final answer
    x = 2,319.47

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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.