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Finding the Fourth Proportional to 2,017.47, 2,785.23 and 1,544.46

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Solution

The fourth proportional to 2,017.47, 2,785.23 and 1,544.46 is: 2,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.47 : 2,785.23 = 1,544.46 : x
  2. Step 2: Convert to fraction form
    2,017.47/2,785.23 = 1,544.46/x
  3. Step 3: Cross multiply
    2,017.47x = 2,785.23 × 1,544.46
  4. Step 4: Simplify right side
    2,017.47x = 4,301,676.33
  5. Step 5: Solve for x
    x = 4,301,676.33/2,017.47
  6. Step 6: Final answer
    x = 2,132.21

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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.