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Finding the Fourth Proportional to 1,894.93, 2,842.38 and 578.68

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Solution

The fourth proportional to 1,894.93, 2,842.38 and 578.68 is: 868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.93 : 2,842.38 = 578.68 : x
  2. Step 2: Convert to fraction form
    1,894.93/2,842.38 = 578.68/x
  3. Step 3: Cross multiply
    1,894.93x = 2,842.38 × 578.68
  4. Step 4: Simplify right side
    1,894.93x = 1,644,821.35
  5. Step 5: Solve for x
    x = 1,644,821.35/1,894.93
  6. Step 6: Final answer
    x = 868.01

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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.