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Finding the Fourth Proportional to 2,710.32, 3,730.75 and 2,360.40

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Solution

The fourth proportional to 2,710.32, 3,730.75 and 2,360.40 is: 3,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.32 : 3,730.75 = 2,360.40 : x
  2. Step 2: Convert to fraction form
    2,710.32/3,730.75 = 2,360.40/x
  3. Step 3: Cross multiply
    2,710.32x = 3,730.75 × 2,360.40
  4. Step 4: Simplify right side
    2,710.32x = 8,806,062.30
  5. Step 5: Solve for x
    x = 8,806,062.30/2,710.32
  6. Step 6: Final answer
    x = 3,249.09

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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.