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Finding the Fourth Proportional to 2,016.98, 2,784.54 and 1,485.42

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Solution

The fourth proportional to 2,016.98, 2,784.54 and 1,485.42 is: 2,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.98 : 2,784.54 = 1,485.42 : x
  2. Step 2: Convert to fraction form
    2,016.98/2,784.54 = 1,485.42/x
  3. Step 3: Cross multiply
    2,016.98x = 2,784.54 × 1,485.42
  4. Step 4: Simplify right side
    2,016.98x = 4,136,211.41
  5. Step 5: Solve for x
    x = 4,136,211.41/2,016.98
  6. Step 6: Final answer
    x = 2,050.70

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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.