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Finding the Fourth Proportional to 1,730.52, 2,597.40 and 1,241.28

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Solution

The fourth proportional to 1,730.52, 2,597.40 and 1,241.28 is: 1,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.52 : 2,597.40 = 1,241.28 : x
  2. Step 2: Convert to fraction form
    1,730.52/2,597.40 = 1,241.28/x
  3. Step 3: Cross multiply
    1,730.52x = 2,597.40 × 1,241.28
  4. Step 4: Simplify right side
    1,730.52x = 3,224,100.67
  5. Step 5: Solve for x
    x = 3,224,100.67/1,730.52
  6. Step 6: Final answer
    x = 1,863.08

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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.