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Finding the Fourth Proportional to 2,117.70, 2,923.53 and 1,644.53

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Solution

The fourth proportional to 2,117.70, 2,923.53 and 1,644.53 is: 2,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.70 : 2,923.53 = 1,644.53 : x
  2. Step 2: Convert to fraction form
    2,117.70/2,923.53 = 1,644.53/x
  3. Step 3: Cross multiply
    2,117.70x = 2,923.53 × 1,644.53
  4. Step 4: Simplify right side
    2,117.70x = 4,807,839.50
  5. Step 5: Solve for x
    x = 4,807,839.50/2,117.70
  6. Step 6: Final answer
    x = 2,270.31

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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.