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Finding the Fourth Proportional to 2,356.94, 3,532.26 and 1,258.94

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Solution

The fourth proportional to 2,356.94, 3,532.26 and 1,258.94 is: 1,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.94 : 3,532.26 = 1,258.94 : x
  2. Step 2: Convert to fraction form
    2,356.94/3,532.26 = 1,258.94/x
  3. Step 3: Cross multiply
    2,356.94x = 3,532.26 × 1,258.94
  4. Step 4: Simplify right side
    2,356.94x = 4,446,903.40
  5. Step 5: Solve for x
    x = 4,446,903.40/2,356.94
  6. Step 6: Final answer
    x = 1,886.73

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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.