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Finding the Fourth Proportional to 2,398.84, 3,598.01 and 644.03

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Solution

The fourth proportional to 2,398.84, 3,598.01 and 644.03 is: 965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.84 : 3,598.01 = 644.03 : x
  2. Step 2: Convert to fraction form
    2,398.84/3,598.01 = 644.03/x
  3. Step 3: Cross multiply
    2,398.84x = 3,598.01 × 644.03
  4. Step 4: Simplify right side
    2,398.84x = 2,317,218.66
  5. Step 5: Solve for x
    x = 2,317,218.66/2,398.84
  6. Step 6: Final answer
    x = 965.98

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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.