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Finding the Fourth Proportional to 2,382.60, 3,573.47 and 651.21

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Solution

The fourth proportional to 2,382.60, 3,573.47 and 651.21 is: 976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.60 : 3,573.47 = 651.21 : x
  2. Step 2: Convert to fraction form
    2,382.60/3,573.47 = 651.21/x
  3. Step 3: Cross multiply
    2,382.60x = 3,573.47 × 651.21
  4. Step 4: Simplify right side
    2,382.60x = 2,327,076.14
  5. Step 5: Solve for x
    x = 2,327,076.14/2,382.60
  6. Step 6: Final answer
    x = 976.70

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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.