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Finding the Fourth Proportional to 2,710.31, 3,740.31 and 1,531.45

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Solution

The fourth proportional to 2,710.31, 3,740.31 and 1,531.45 is: 2,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.31 : 3,740.31 = 1,531.45 : x
  2. Step 2: Convert to fraction form
    2,710.31/3,740.31 = 1,531.45/x
  3. Step 3: Cross multiply
    2,710.31x = 3,740.31 × 1,531.45
  4. Step 4: Simplify right side
    2,710.31x = 5,728,090.09
  5. Step 5: Solve for x
    x = 5,728,090.09/2,710.31
  6. Step 6: Final answer
    x = 2,113.45

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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.