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Finding the Fourth Proportional to 1,266.36, 1,897.60 and 918.84

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Solution

The fourth proportional to 1,266.36, 1,897.60 and 918.84 is: 1,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.36 : 1,897.60 = 918.84 : x
  2. Step 2: Convert to fraction form
    1,266.36/1,897.60 = 918.84/x
  3. Step 3: Cross multiply
    1,266.36x = 1,897.60 × 918.84
  4. Step 4: Simplify right side
    1,266.36x = 1,743,590.78
  5. Step 5: Solve for x
    x = 1,743,590.78/1,266.36
  6. Step 6: Final answer
    x = 1,376.85

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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.