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Finding the Fourth Proportional to 2,364.41, 3,546.20 and 632.63

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Solution

The fourth proportional to 2,364.41, 3,546.20 and 632.63 is: 948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.41 : 3,546.20 = 632.63 : x
  2. Step 2: Convert to fraction form
    2,364.41/3,546.20 = 632.63/x
  3. Step 3: Cross multiply
    2,364.41x = 3,546.20 × 632.63
  4. Step 4: Simplify right side
    2,364.41x = 2,243,411.61
  5. Step 5: Solve for x
    x = 2,243,411.61/2,364.41
  6. Step 6: Final answer
    x = 948.83

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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.