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Finding the Fourth Proportional to 2,411.02, 3,615.63 and 949.38

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Solution

The fourth proportional to 2,411.02, 3,615.63 and 949.38 is: 1,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.02 : 3,615.63 = 949.38 : x
  2. Step 2: Convert to fraction form
    2,411.02/3,615.63 = 949.38/x
  3. Step 3: Cross multiply
    2,411.02x = 3,615.63 × 949.38
  4. Step 4: Simplify right side
    2,411.02x = 3,432,606.81
  5. Step 5: Solve for x
    x = 3,432,606.81/2,411.02
  6. Step 6: Final answer
    x = 1,423.72

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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.