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Finding the Fourth Proportional to 1,389.70, 1,918.54 and 941.88

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Solution

The fourth proportional to 1,389.70, 1,918.54 and 941.88 is: 1,300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.70 : 1,918.54 = 941.88 : x
  2. Step 2: Convert to fraction form
    1,389.70/1,918.54 = 941.88/x
  3. Step 3: Cross multiply
    1,389.70x = 1,918.54 × 941.88
  4. Step 4: Simplify right side
    1,389.70x = 1,807,034.46
  5. Step 5: Solve for x
    x = 1,807,034.46/1,389.70
  6. Step 6: Final answer
    x = 1,300.31

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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.