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Finding the Fourth Proportional to 2,300.68, 3,429.71 and 2,265.16

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Solution

The fourth proportional to 2,300.68, 3,429.71 and 2,265.16 is: 3,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.68 : 3,429.71 = 2,265.16 : x
  2. Step 2: Convert to fraction form
    2,300.68/3,429.71 = 2,265.16/x
  3. Step 3: Cross multiply
    2,300.68x = 3,429.71 × 2,265.16
  4. Step 4: Simplify right side
    2,300.68x = 7,768,841.90
  5. Step 5: Solve for x
    x = 7,768,841.90/2,300.68
  6. Step 6: Final answer
    x = 3,376.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.