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Finding the Fourth Proportional to 1,254.44, 1,878.22 and 906.76

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Solution

The fourth proportional to 1,254.44, 1,878.22 and 906.76 is: 1,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.44 : 1,878.22 = 906.76 : x
  2. Step 2: Convert to fraction form
    1,254.44/1,878.22 = 906.76/x
  3. Step 3: Cross multiply
    1,254.44x = 1,878.22 × 906.76
  4. Step 4: Simplify right side
    1,254.44x = 1,703,094.77
  5. Step 5: Solve for x
    x = 1,703,094.77/1,254.44
  6. Step 6: Final answer
    x = 1,357.65

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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.