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Finding the Fourth Proportional to 1,389.72, 1,918.12 and 917.70

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Solution

The fourth proportional to 1,389.72, 1,918.12 and 917.70 is: 1,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.72 : 1,918.12 = 917.70 : x
  2. Step 2: Convert to fraction form
    1,389.72/1,918.12 = 917.70/x
  3. Step 3: Cross multiply
    1,389.72x = 1,918.12 × 917.70
  4. Step 4: Simplify right side
    1,389.72x = 1,760,258.72
  5. Step 5: Solve for x
    x = 1,760,258.72/1,389.72
  6. Step 6: Final answer
    x = 1,266.63

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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.