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Finding the Fourth Proportional to 2,686.71, 4,024.82 and 1,851.81

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Solution

The fourth proportional to 2,686.71, 4,024.82 and 1,851.81 is: 2,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.71 : 4,024.82 = 1,851.81 : x
  2. Step 2: Convert to fraction form
    2,686.71/4,024.82 = 1,851.81/x
  3. Step 3: Cross multiply
    2,686.71x = 4,024.82 × 1,851.81
  4. Step 4: Simplify right side
    2,686.71x = 7,453,192.67
  5. Step 5: Solve for x
    x = 7,453,192.67/2,686.71
  6. Step 6: Final answer
    x = 2,774.10

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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.