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Finding the Fourth Proportional to 2,334.24, 3,501.24 and 602.82

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Solution

The fourth proportional to 2,334.24, 3,501.24 and 602.82 is: 904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.24 : 3,501.24 = 602.82 : x
  2. Step 2: Convert to fraction form
    2,334.24/3,501.24 = 602.82/x
  3. Step 3: Cross multiply
    2,334.24x = 3,501.24 × 602.82
  4. Step 4: Simplify right side
    2,334.24x = 2,110,617.50
  5. Step 5: Solve for x
    x = 2,110,617.50/2,334.24
  6. Step 6: Final answer
    x = 904.20

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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.