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Finding the Fourth Proportional to 1,907.83, 2,626.40 and 1,697.68

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Solution

The fourth proportional to 1,907.83, 2,626.40 and 1,697.68 is: 2,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.83 : 2,626.40 = 1,697.68 : x
  2. Step 2: Convert to fraction form
    1,907.83/2,626.40 = 1,697.68/x
  3. Step 3: Cross multiply
    1,907.83x = 2,626.40 × 1,697.68
  4. Step 4: Simplify right side
    1,907.83x = 4,458,765.13
  5. Step 5: Solve for x
    x = 4,458,765.13/1,907.83
  6. Step 6: Final answer
    x = 2,337.09

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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.