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Finding the Fourth Proportional to 2,159.07, 2,979 and 1,568.58

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Solution

The fourth proportional to 2,159.07, 2,979 and 1,568.58 is: 2,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.07 : 2,979 = 1,568.58 : x
  2. Step 2: Convert to fraction form
    2,159.07/2,979 = 1,568.58/x
  3. Step 3: Cross multiply
    2,159.07x = 2,979 × 1,568.58
  4. Step 4: Simplify right side
    2,159.07x = 4,672,799.82
  5. Step 5: Solve for x
    x = 4,672,799.82/2,159.07
  6. Step 6: Final answer
    x = 2,164.27

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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.