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Finding the Fourth Proportional to 2,303.89, 3,179.43 and 1,256.02

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Solution

The fourth proportional to 2,303.89, 3,179.43 and 1,256.02 is: 1,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.89 : 3,179.43 = 1,256.02 : x
  2. Step 2: Convert to fraction form
    2,303.89/3,179.43 = 1,256.02/x
  3. Step 3: Cross multiply
    2,303.89x = 3,179.43 × 1,256.02
  4. Step 4: Simplify right side
    2,303.89x = 3,993,427.67
  5. Step 5: Solve for x
    x = 3,993,427.67/2,303.89
  6. Step 6: Final answer
    x = 1,733.34

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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.