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Finding the Fourth Proportional to 2,363.01, 3,544.20 and 631.77

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Solution

The fourth proportional to 2,363.01, 3,544.20 and 631.77 is: 947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.01 : 3,544.20 = 631.77 : x
  2. Step 2: Convert to fraction form
    2,363.01/3,544.20 = 631.77/x
  3. Step 3: Cross multiply
    2,363.01x = 3,544.20 × 631.77
  4. Step 4: Simplify right side
    2,363.01x = 2,239,119.23
  5. Step 5: Solve for x
    x = 2,239,119.23/2,363.01
  6. Step 6: Final answer
    x = 947.57

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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.