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Finding the Fourth Proportional to 2,053.76, 2,832.50 and 1,389.56

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Solution

The fourth proportional to 2,053.76, 2,832.50 and 1,389.56 is: 1,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.76 : 2,832.50 = 1,389.56 : x
  2. Step 2: Convert to fraction form
    2,053.76/2,832.50 = 1,389.56/x
  3. Step 3: Cross multiply
    2,053.76x = 2,832.50 × 1,389.56
  4. Step 4: Simplify right side
    2,053.76x = 3,935,918.01
  5. Step 5: Solve for x
    x = 3,935,918.01/2,053.76
  6. Step 6: Final answer
    x = 1,916.45

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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.