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Finding the Fourth Proportional to 2,966.78, 4,095.47 and 1,772.19

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Solution

The fourth proportional to 2,966.78, 4,095.47 and 1,772.19 is: 2,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.78 : 4,095.47 = 1,772.19 : x
  2. Step 2: Convert to fraction form
    2,966.78/4,095.47 = 1,772.19/x
  3. Step 3: Cross multiply
    2,966.78x = 4,095.47 × 1,772.19
  4. Step 4: Simplify right side
    2,966.78x = 7,257,955.41
  5. Step 5: Solve for x
    x = 7,257,955.41/2,966.78
  6. Step 6: Final answer
    x = 2,446.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.