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Finding the Fourth Proportional to 2,526.80, 3,790.53 and 882.95

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Solution

The fourth proportional to 2,526.80, 3,790.53 and 882.95 is: 1,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.80 : 3,790.53 = 882.95 : x
  2. Step 2: Convert to fraction form
    2,526.80/3,790.53 = 882.95/x
  3. Step 3: Cross multiply
    2,526.80x = 3,790.53 × 882.95
  4. Step 4: Simplify right side
    2,526.80x = 3,346,829.51
  5. Step 5: Solve for x
    x = 3,346,829.51/2,526.80
  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.