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Finding the Fourth Proportional to 1,718.32, 2,578.53 and 1,578.91

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Solution

The fourth proportional to 1,718.32, 2,578.53 and 1,578.91 is: 2,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.32 : 2,578.53 = 1,578.91 : x
  2. Step 2: Convert to fraction form
    1,718.32/2,578.53 = 1,578.91/x
  3. Step 3: Cross multiply
    1,718.32x = 2,578.53 × 1,578.91
  4. Step 4: Simplify right side
    1,718.32x = 4,071,266.80
  5. Step 5: Solve for x
    x = 4,071,266.80/1,718.32
  6. Step 6: Final answer
    x = 2,369.33

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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.