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Finding the Fourth Proportional to 1,256.66, 1,883.34 and 926.06

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Solution

The fourth proportional to 1,256.66, 1,883.34 and 926.06 is: 1,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.66 : 1,883.34 = 926.06 : x
  2. Step 2: Convert to fraction form
    1,256.66/1,883.34 = 926.06/x
  3. Step 3: Cross multiply
    1,256.66x = 1,883.34 × 926.06
  4. Step 4: Simplify right side
    1,256.66x = 1,744,076.42
  5. Step 5: Solve for x
    x = 1,744,076.42/1,256.66
  6. Step 6: Final answer
    x = 1,387.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.