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Finding the Fourth Proportional to 2,710.64, 3,739.59 and 1,663.31

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Solution

The fourth proportional to 2,710.64, 3,739.59 and 1,663.31 is: 2,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.64 : 3,739.59 = 1,663.31 : x
  2. Step 2: Convert to fraction form
    2,710.64/3,739.59 = 1,663.31/x
  3. Step 3: Cross multiply
    2,710.64x = 3,739.59 × 1,663.31
  4. Step 4: Simplify right side
    2,710.64x = 6,220,106.79
  5. Step 5: Solve for x
    x = 6,220,106.79/2,710.64
  6. Step 6: Final answer
    x = 2,294.70

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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.