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Finding the Fourth Proportional to 2,526.86, 3,790.74 and 882.92

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Solution

The fourth proportional to 2,526.86, 3,790.74 and 882.92 is: 1,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.86 : 3,790.74 = 882.92 : x
  2. Step 2: Convert to fraction form
    2,526.86/3,790.74 = 882.92/x
  3. Step 3: Cross multiply
    2,526.86x = 3,790.74 × 882.92
  4. Step 4: Simplify right side
    2,526.86x = 3,346,920.16
  5. Step 5: Solve for x
    x = 3,346,920.16/2,526.86
  6. Step 6: Final answer
    x = 1,324.54

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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.