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Finding the Fourth Proportional to 2,154.57, 3,223.71 and 1,277.55

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Solution

The fourth proportional to 2,154.57, 3,223.71 and 1,277.55 is: 1,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.57 : 3,223.71 = 1,277.55 : x
  2. Step 2: Convert to fraction form
    2,154.57/3,223.71 = 1,277.55/x
  3. Step 3: Cross multiply
    2,154.57x = 3,223.71 × 1,277.55
  4. Step 4: Simplify right side
    2,154.57x = 4,118,450.71
  5. Step 5: Solve for x
    x = 4,118,450.71/2,154.57
  6. Step 6: Final answer
    x = 1,911.50

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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.