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Finding the Fourth Proportional to 2,725.29, 4,088.61 and 777.48

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Solution

The fourth proportional to 2,725.29, 4,088.61 and 777.48 is: 1,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.29 : 4,088.61 = 777.48 : x
  2. Step 2: Convert to fraction form
    2,725.29/4,088.61 = 777.48/x
  3. Step 3: Cross multiply
    2,725.29x = 4,088.61 × 777.48
  4. Step 4: Simplify right side
    2,725.29x = 3,178,812.50
  5. Step 5: Solve for x
    x = 3,178,812.50/2,725.29
  6. Step 6: Final answer
    x = 1,166.41

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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.