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Finding the Fourth Proportional to 2,140.03, 2,951.44 and 1,697.23

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Solution

The fourth proportional to 2,140.03, 2,951.44 and 1,697.23 is: 2,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.03 : 2,951.44 = 1,697.23 : x
  2. Step 2: Convert to fraction form
    2,140.03/2,951.44 = 1,697.23/x
  3. Step 3: Cross multiply
    2,140.03x = 2,951.44 × 1,697.23
  4. Step 4: Simplify right side
    2,140.03x = 5,009,272.51
  5. Step 5: Solve for x
    x = 5,009,272.51/2,140.03
  6. Step 6: Final answer
    x = 2,340.75

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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.