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Finding the Fourth Proportional to 2,401.88, 3,602.95 and 670.64

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Solution

The fourth proportional to 2,401.88, 3,602.95 and 670.64 is: 1,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.88 : 3,602.95 = 670.64 : x
  2. Step 2: Convert to fraction form
    2,401.88/3,602.95 = 670.64/x
  3. Step 3: Cross multiply
    2,401.88x = 3,602.95 × 670.64
  4. Step 4: Simplify right side
    2,401.88x = 2,416,262.70
  5. Step 5: Solve for x
    x = 2,416,262.70/2,401.88
  6. Step 6: Final answer
    x = 1,005.99

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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.