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Finding the Fourth Proportional to 1,897.44, 2,832.92 and 1,637.16

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Solution

The fourth proportional to 1,897.44, 2,832.92 and 1,637.16 is: 2,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.44 : 2,832.92 = 1,637.16 : x
  2. Step 2: Convert to fraction form
    1,897.44/2,832.92 = 1,637.16/x
  3. Step 3: Cross multiply
    1,897.44x = 2,832.92 × 1,637.16
  4. Step 4: Simplify right side
    1,897.44x = 4,637,935.12
  5. Step 5: Solve for x
    x = 4,637,935.12/1,897.44
  6. Step 6: Final answer
    x = 2,444.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.