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Finding the Fourth Proportional to 1,748.86, 2,623.41 and 578.81

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Solution

The fourth proportional to 1,748.86, 2,623.41 and 578.81 is: 868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.86 : 2,623.41 = 578.81 : x
  2. Step 2: Convert to fraction form
    1,748.86/2,623.41 = 578.81/x
  3. Step 3: Cross multiply
    1,748.86x = 2,623.41 × 578.81
  4. Step 4: Simplify right side
    1,748.86x = 1,518,453.05
  5. Step 5: Solve for x
    x = 1,518,453.05/1,748.86
  6. Step 6: Final answer
    x = 868.26

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Why These Related Problems?

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