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Finding the Fourth Proportional to 1,908.51, 2,862.82 and 609.98

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Solution

The fourth proportional to 1,908.51, 2,862.82 and 609.98 is: 914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.51 : 2,862.82 = 609.98 : x
  2. Step 2: Convert to fraction form
    1,908.51/2,862.82 = 609.98/x
  3. Step 3: Cross multiply
    1,908.51x = 2,862.82 × 609.98
  4. Step 4: Simplify right side
    1,908.51x = 1,746,262.94
  5. Step 5: Solve for x
    x = 1,746,262.94/1,908.51
  6. Step 6: Final answer
    x = 914.99

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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.