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Finding the Fourth Proportional to 2,865.57, 4,296.93 and 1,476.82

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Solution

The fourth proportional to 2,865.57, 4,296.93 and 1,476.82 is: 2,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.57 : 4,296.93 = 1,476.82 : x
  2. Step 2: Convert to fraction form
    2,865.57/4,296.93 = 1,476.82/x
  3. Step 3: Cross multiply
    2,865.57x = 4,296.93 × 1,476.82
  4. Step 4: Simplify right side
    2,865.57x = 6,345,792.16
  5. Step 5: Solve for x
    x = 6,345,792.16/2,865.57
  6. Step 6: Final answer
    x = 2,214.50

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Why These Related Problems?

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