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Finding the Fourth Proportional to 2,401.61, 3,602.66 and 670.23

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Solution

The fourth proportional to 2,401.61, 3,602.66 and 670.23 is: 1,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.61 : 3,602.66 = 670.23 : x
  2. Step 2: Convert to fraction form
    2,401.61/3,602.66 = 670.23/x
  3. Step 3: Cross multiply
    2,401.61x = 3,602.66 × 670.23
  4. Step 4: Simplify right side
    2,401.61x = 2,414,607.46
  5. Step 5: Solve for x
    x = 2,414,607.46/2,401.61
  6. Step 6: Final answer
    x = 1,005.41

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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.