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Finding the Fourth Proportional to 2,762.68, 3,812.58 and 1,701.06

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Solution

The fourth proportional to 2,762.68, 3,812.58 and 1,701.06 is: 2,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.68 : 3,812.58 = 1,701.06 : x
  2. Step 2: Convert to fraction form
    2,762.68/3,812.58 = 1,701.06/x
  3. Step 3: Cross multiply
    2,762.68x = 3,812.58 × 1,701.06
  4. Step 4: Simplify right side
    2,762.68x = 6,485,411.44
  5. Step 5: Solve for x
    x = 6,485,411.44/2,762.68
  6. Step 6: Final answer
    x = 2,347.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.