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Finding the Fourth Proportional to 2,772.57, 4,159.54 and 824.77

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Solution

The fourth proportional to 2,772.57, 4,159.54 and 824.77 is: 1,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.57 : 4,159.54 = 824.77 : x
  2. Step 2: Convert to fraction form
    2,772.57/4,159.54 = 824.77/x
  3. Step 3: Cross multiply
    2,772.57x = 4,159.54 × 824.77
  4. Step 4: Simplify right side
    2,772.57x = 3,430,666.94
  5. Step 5: Solve for x
    x = 3,430,666.94/2,772.57
  6. Step 6: Final answer
    x = 1,237.36

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1.5x scale

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.