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Finding the Fourth Proportional to 2,597.59, 3,579.52 and 1,850.23

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Solution

The fourth proportional to 2,597.59, 3,579.52 and 1,850.23 is: 2,549.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.59 : 3,579.52 = 1,850.23 : x
  2. Step 2: Convert to fraction form
    2,597.59/3,579.52 = 1,850.23/x
  3. Step 3: Cross multiply
    2,597.59x = 3,579.52 × 1,850.23
  4. Step 4: Simplify right side
    2,597.59x = 6,622,935.29
  5. Step 5: Solve for x
    x = 6,622,935.29/2,597.59
  6. Step 6: Final answer
    x = 2,549.65

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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.