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Finding the Fourth Proportional to 2,446.66, 3,664.68 and 1,506.74

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Solution

The fourth proportional to 2,446.66, 3,664.68 and 1,506.74 is: 2,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.66 : 3,664.68 = 1,506.74 : x
  2. Step 2: Convert to fraction form
    2,446.66/3,664.68 = 1,506.74/x
  3. Step 3: Cross multiply
    2,446.66x = 3,664.68 × 1,506.74
  4. Step 4: Simplify right side
    2,446.66x = 5,521,719.94
  5. Step 5: Solve for x
    x = 5,521,719.94/2,446.66
  6. Step 6: Final answer
    x = 2,256.84

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Why These Related Problems?

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