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Finding the Fourth Proportional to 2,401.71, 3,602.48 and 670.41

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Solution

The fourth proportional to 2,401.71, 3,602.48 and 670.41 is: 1,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.71 : 3,602.48 = 670.41 : x
  2. Step 2: Convert to fraction form
    2,401.71/3,602.48 = 670.41/x
  3. Step 3: Cross multiply
    2,401.71x = 3,602.48 × 670.41
  4. Step 4: Simplify right side
    2,401.71x = 2,415,135.26
  5. Step 5: Solve for x
    x = 2,415,135.26/2,401.71
  6. Step 6: Final answer
    x = 1,005.59

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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.