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Finding the Fourth Proportional to 1,389.06, 1,918.48 and 946.19

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Solution

The fourth proportional to 1,389.06, 1,918.48 and 946.19 is: 1,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.06 : 1,918.48 = 946.19 : x
  2. Step 2: Convert to fraction form
    1,389.06/1,918.48 = 946.19/x
  3. Step 3: Cross multiply
    1,389.06x = 1,918.48 × 946.19
  4. Step 4: Simplify right side
    1,389.06x = 1,815,249.02
  5. Step 5: Solve for x
    x = 1,815,249.02/1,389.06
  6. Step 6: Final answer
    x = 1,306.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.