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Finding the Fourth Proportional to 1,389.49, 1,916.61 and 1,057.19

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Solution

The fourth proportional to 1,389.49, 1,916.61 and 1,057.19 is: 1,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.49 : 1,916.61 = 1,057.19 : x
  2. Step 2: Convert to fraction form
    1,389.49/1,916.61 = 1,057.19/x
  3. Step 3: Cross multiply
    1,389.49x = 1,916.61 × 1,057.19
  4. Step 4: Simplify right side
    1,389.49x = 2,026,220.93
  5. Step 5: Solve for x
    x = 2,026,220.93/1,389.49
  6. Step 6: Final answer
    x = 1,458.25

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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.