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Finding the Fourth Proportional to 2,053.62, 2,832.48 and 1,463.94

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Solution

The fourth proportional to 2,053.62, 2,832.48 and 1,463.94 is: 2,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.62 : 2,832.48 = 1,463.94 : x
  2. Step 2: Convert to fraction form
    2,053.62/2,832.48 = 1,463.94/x
  3. Step 3: Cross multiply
    2,053.62x = 2,832.48 × 1,463.94
  4. Step 4: Simplify right side
    2,053.62x = 4,146,580.77
  5. Step 5: Solve for x
    x = 4,146,580.77/2,053.62
  6. Step 6: Final answer
    x = 2,019.16

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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.