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Finding the Fourth Proportional to 1,267.33, 1,900.27 and 974.10

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Solution

The fourth proportional to 1,267.33, 1,900.27 and 974.10 is: 1,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.33 : 1,900.27 = 974.10 : x
  2. Step 2: Convert to fraction form
    1,267.33/1,900.27 = 974.10/x
  3. Step 3: Cross multiply
    1,267.33x = 1,900.27 × 974.10
  4. Step 4: Simplify right side
    1,267.33x = 1,851,053.01
  5. Step 5: Solve for x
    x = 1,851,053.01/1,267.33
  6. Step 6: Final answer
    x = 1,460.59

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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.