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Finding the Fourth Proportional to 1,977.36, 2,968.13 and 882.48

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Solution

The fourth proportional to 1,977.36, 2,968.13 and 882.48 is: 1,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.36 : 2,968.13 = 882.48 : x
  2. Step 2: Convert to fraction form
    1,977.36/2,968.13 = 882.48/x
  3. Step 3: Cross multiply
    1,977.36x = 2,968.13 × 882.48
  4. Step 4: Simplify right side
    1,977.36x = 2,619,315.36
  5. Step 5: Solve for x
    x = 2,619,315.36/1,977.36
  6. Step 6: Final answer
    x = 1,324.65

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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.