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Finding the Fourth Proportional to 2,710.05, 3,740.28 and 1,648.14

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Solution

The fourth proportional to 2,710.05, 3,740.28 and 1,648.14 is: 2,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.05 : 3,740.28 = 1,648.14 : x
  2. Step 2: Convert to fraction form
    2,710.05/3,740.28 = 1,648.14/x
  3. Step 3: Cross multiply
    2,710.05x = 3,740.28 × 1,648.14
  4. Step 4: Simplify right side
    2,710.05x = 6,164,505.08
  5. Step 5: Solve for x
    x = 6,164,505.08/2,710.05
  6. Step 6: Final answer
    x = 2,274.68

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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.