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Finding the Fourth Proportional to 1,851.91, 2,776.56 and 926.81

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Solution

The fourth proportional to 1,851.91, 2,776.56 and 926.81 is: 1,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.91 : 2,776.56 = 926.81 : x
  2. Step 2: Convert to fraction form
    1,851.91/2,776.56 = 926.81/x
  3. Step 3: Cross multiply
    1,851.91x = 2,776.56 × 926.81
  4. Step 4: Simplify right side
    1,851.91x = 2,573,326.22
  5. Step 5: Solve for x
    x = 2,573,326.22/1,851.91
  6. Step 6: Final answer
    x = 1,389.55

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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.