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Finding the Fourth Proportional to 2,710.15, 4,065.22 and 2,302.14

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Solution

The fourth proportional to 2,710.15, 4,065.22 and 2,302.14 is: 3,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.15 : 4,065.22 = 2,302.14 : x
  2. Step 2: Convert to fraction form
    2,710.15/4,065.22 = 2,302.14/x
  3. Step 3: Cross multiply
    2,710.15x = 4,065.22 × 2,302.14
  4. Step 4: Simplify right side
    2,710.15x = 9,358,685.24
  5. Step 5: Solve for x
    x = 9,358,685.24/2,710.15
  6. Step 6: Final answer
    x = 3,453.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.