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Finding the Fourth Proportional to 1,697.86, 2,546.62 and 602.18

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Solution

The fourth proportional to 1,697.86, 2,546.62 and 602.18 is: 903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.86 : 2,546.62 = 602.18 : x
  2. Step 2: Convert to fraction form
    1,697.86/2,546.62 = 602.18/x
  3. Step 3: Cross multiply
    1,697.86x = 2,546.62 × 602.18
  4. Step 4: Simplify right side
    1,697.86x = 1,533,523.63
  5. Step 5: Solve for x
    x = 1,533,523.63/1,697.86
  6. Step 6: Final answer
    x = 903.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.