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Finding the Fourth Proportional to 1,735.74, 2,597.40 and 1,507.32

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Solution

The fourth proportional to 1,735.74, 2,597.40 and 1,507.32 is: 2,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.74 : 2,597.40 = 1,507.32 : x
  2. Step 2: Convert to fraction form
    1,735.74/2,597.40 = 1,507.32/x
  3. Step 3: Cross multiply
    1,735.74x = 2,597.40 × 1,507.32
  4. Step 4: Simplify right side
    1,735.74x = 3,915,112.97
  5. Step 5: Solve for x
    x = 3,915,112.97/1,735.74
  6. Step 6: Final answer
    x = 2,255.59

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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.