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Finding the Fourth Proportional to 2,398.61, 3,599.54 and 937.58

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Solution

The fourth proportional to 2,398.61, 3,599.54 and 937.58 is: 1,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.61 : 3,599.54 = 937.58 : x
  2. Step 2: Convert to fraction form
    2,398.61/3,599.54 = 937.58/x
  3. Step 3: Cross multiply
    2,398.61x = 3,599.54 × 937.58
  4. Step 4: Simplify right side
    2,398.61x = 3,374,852.03
  5. Step 5: Solve for x
    x = 3,374,852.03/2,398.61
  6. Step 6: Final answer
    x = 1,407.00

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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.