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Finding the Fourth Proportional to 2,671.47, 3,685.54 and 1,775.64

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Solution

The fourth proportional to 2,671.47, 3,685.54 and 1,775.64 is: 2,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.47 : 3,685.54 = 1,775.64 : x
  2. Step 2: Convert to fraction form
    2,671.47/3,685.54 = 1,775.64/x
  3. Step 3: Cross multiply
    2,671.47x = 3,685.54 × 1,775.64
  4. Step 4: Simplify right side
    2,671.47x = 6,544,192.25
  5. Step 5: Solve for x
    x = 6,544,192.25/2,671.47
  6. Step 6: Final answer
    x = 2,449.66

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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.