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Finding the Fourth Proportional to 1,274.04, 1,907.33 and 967.10

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Solution

The fourth proportional to 1,274.04, 1,907.33 and 967.10 is: 1,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.04 : 1,907.33 = 967.10 : x
  2. Step 2: Convert to fraction form
    1,274.04/1,907.33 = 967.10/x
  3. Step 3: Cross multiply
    1,274.04x = 1,907.33 × 967.10
  4. Step 4: Simplify right side
    1,274.04x = 1,844,564.47
  5. Step 5: Solve for x
    x = 1,844,564.47/1,274.04
  6. Step 6: Final answer
    x = 1,447.81

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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.