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Finding the Fourth Proportional to 2,446.53, 3,669.93 and 715.20

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Solution

The fourth proportional to 2,446.53, 3,669.93 and 715.20 is: 1,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.53 : 3,669.93 = 715.20 : x
  2. Step 2: Convert to fraction form
    2,446.53/3,669.93 = 715.20/x
  3. Step 3: Cross multiply
    2,446.53x = 3,669.93 × 715.20
  4. Step 4: Simplify right side
    2,446.53x = 2,624,733.94
  5. Step 5: Solve for x
    x = 2,624,733.94/2,446.53
  6. Step 6: Final answer
    x = 1,072.84

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1.5x scale

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.