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Finding the Fourth Proportional to 2,772.74, 3,827.64 and 1,710.69

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Solution

The fourth proportional to 2,772.74, 3,827.64 and 1,710.69 is: 2,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.74 : 3,827.64 = 1,710.69 : x
  2. Step 2: Convert to fraction form
    2,772.74/3,827.64 = 1,710.69/x
  3. Step 3: Cross multiply
    2,772.74x = 3,827.64 × 1,710.69
  4. Step 4: Simplify right side
    2,772.74x = 6,547,905.47
  5. Step 5: Solve for x
    x = 6,547,905.47/2,772.74
  6. Step 6: Final answer
    x = 2,361.53

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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.