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Finding the Fourth Proportional to 1,697.96, 2,546.10 and 602.16

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Solution

The fourth proportional to 1,697.96, 2,546.10 and 602.16 is: 902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.96 : 2,546.10 = 602.16 : x
  2. Step 2: Convert to fraction form
    1,697.96/2,546.10 = 602.16/x
  3. Step 3: Cross multiply
    1,697.96x = 2,546.10 × 602.16
  4. Step 4: Simplify right side
    1,697.96x = 1,533,159.58
  5. Step 5: Solve for x
    x = 1,533,159.58/1,697.96
  6. Step 6: Final answer
    x = 902.94

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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.