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Finding the Fourth Proportional to 2,298.58, 3,172.06 and 1,250.64

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Solution

The fourth proportional to 2,298.58, 3,172.06 and 1,250.64 is: 1,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.58 : 3,172.06 = 1,250.64 : x
  2. Step 2: Convert to fraction form
    2,298.58/3,172.06 = 1,250.64/x
  3. Step 3: Cross multiply
    2,298.58x = 3,172.06 × 1,250.64
  4. Step 4: Simplify right side
    2,298.58x = 3,967,106.68
  5. Step 5: Solve for x
    x = 3,967,106.68/2,298.58
  6. Step 6: Final answer
    x = 1,725.90

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