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Finding the Fourth Proportional to 2,401.81, 3,602.72 and 646.82

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Solution

The fourth proportional to 2,401.81, 3,602.72 and 646.82 is: 970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.81 : 3,602.72 = 646.82 : x
  2. Step 2: Convert to fraction form
    2,401.81/3,602.72 = 646.82/x
  3. Step 3: Cross multiply
    2,401.81x = 3,602.72 × 646.82
  4. Step 4: Simplify right side
    2,401.81x = 2,330,290.10
  5. Step 5: Solve for x
    x = 2,330,290.10/2,401.81
  6. Step 6: Final answer
    x = 970.22

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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.