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Finding the Fourth Proportional to 2,053.98, 2,832.48 and 1,847.34

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Solution

The fourth proportional to 2,053.98, 2,832.48 and 1,847.34 is: 2,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.98 : 2,832.48 = 1,847.34 : x
  2. Step 2: Convert to fraction form
    2,053.98/2,832.48 = 1,847.34/x
  3. Step 3: Cross multiply
    2,053.98x = 2,832.48 × 1,847.34
  4. Step 4: Simplify right side
    2,053.98x = 5,232,553.60
  5. Step 5: Solve for x
    x = 5,232,553.60/2,053.98
  6. Step 6: Final answer
    x = 2,547.52

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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.