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Finding the Fourth Proportional to 1,702, 2,346.60 and 1,259.14

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Solution

The fourth proportional to 1,702, 2,346.60 and 1,259.14 is: 1,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702 : 2,346.60 = 1,259.14 : x
  2. Step 2: Convert to fraction form
    1,702/2,346.60 = 1,259.14/x
  3. Step 3: Cross multiply
    1,702x = 2,346.60 × 1,259.14
  4. Step 4: Simplify right side
    1,702x = 2,954,697.92
  5. Step 5: Solve for x
    x = 2,954,697.92/1,702
  6. Step 6: Final answer
    x = 1,736.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.