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Finding the Fourth Proportional to 1,851.79, 2,776.37 and 926.68

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Solution

The fourth proportional to 1,851.79, 2,776.37 and 926.68 is: 1,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.79 : 2,776.37 = 926.68 : x
  2. Step 2: Convert to fraction form
    1,851.79/2,776.37 = 926.68/x
  3. Step 3: Cross multiply
    1,851.79x = 2,776.37 × 926.68
  4. Step 4: Simplify right side
    1,851.79x = 2,572,806.55
  5. Step 5: Solve for x
    x = 2,572,806.55/1,851.79
  6. Step 6: Final answer
    x = 1,389.37

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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.