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Finding the Fourth Proportional to 2,010.37, 3,013.40 and 840.07

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Solution

The fourth proportional to 2,010.37, 3,013.40 and 840.07 is: 1,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.37 : 3,013.40 = 840.07 : x
  2. Step 2: Convert to fraction form
    2,010.37/3,013.40 = 840.07/x
  3. Step 3: Cross multiply
    2,010.37x = 3,013.40 × 840.07
  4. Step 4: Simplify right side
    2,010.37x = 2,531,472.80
  5. Step 5: Solve for x
    x = 2,531,472.80/2,010.37
  6. Step 6: Final answer
    x = 1,259.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.