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Finding the Fourth Proportional to 2,401.93, 3,603.12 and 670.57

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Solution

The fourth proportional to 2,401.93, 3,603.12 and 670.57 is: 1,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.93 : 3,603.12 = 670.57 : x
  2. Step 2: Convert to fraction form
    2,401.93/3,603.12 = 670.57/x
  3. Step 3: Cross multiply
    2,401.93x = 3,603.12 × 670.57
  4. Step 4: Simplify right side
    2,401.93x = 2,416,144.18
  5. Step 5: Solve for x
    x = 2,416,144.18/2,401.93
  6. Step 6: Final answer
    x = 1,005.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.