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Finding the Fourth Proportional to 2,353.74, 3,526.97 and 892.10

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Solution

The fourth proportional to 2,353.74, 3,526.97 and 892.10 is: 1,336.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.74 : 3,526.97 = 892.10 : x
  2. Step 2: Convert to fraction form
    2,353.74/3,526.97 = 892.10/x
  3. Step 3: Cross multiply
    2,353.74x = 3,526.97 × 892.10
  4. Step 4: Simplify right side
    2,353.74x = 3,146,409.94
  5. Step 5: Solve for x
    x = 3,146,409.94/2,353.74
  6. Step 6: Final answer
    x = 1,336.77

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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.