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Finding the Fourth Proportional to 1,284.48, 1,918.50 and 1,111.68

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Solution

The fourth proportional to 1,284.48, 1,918.50 and 1,111.68 is: 1,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.48 : 1,918.50 = 1,111.68 : x
  2. Step 2: Convert to fraction form
    1,284.48/1,918.50 = 1,111.68/x
  3. Step 3: Cross multiply
    1,284.48x = 1,918.50 × 1,111.68
  4. Step 4: Simplify right side
    1,284.48x = 2,132,758.08
  5. Step 5: Solve for x
    x = 2,132,758.08/1,284.48
  6. Step 6: Final answer
    x = 1,660.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.