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Finding the Fourth Proportional to 1,985.48, 2,735.96 and 1,484.49

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Solution

The fourth proportional to 1,985.48, 2,735.96 and 1,484.49 is: 2,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.48 : 2,735.96 = 1,484.49 : x
  2. Step 2: Convert to fraction form
    1,985.48/2,735.96 = 1,484.49/x
  3. Step 3: Cross multiply
    1,985.48x = 2,735.96 × 1,484.49
  4. Step 4: Simplify right side
    1,985.48x = 4,061,505.26
  5. Step 5: Solve for x
    x = 4,061,505.26/1,985.48
  6. Step 6: Final answer
    x = 2,045.61

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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.