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Finding the Fourth Proportional to 2,883.92, 3,980.48 and 2,328.08

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Solution

The fourth proportional to 2,883.92, 3,980.48 and 2,328.08 is: 3,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.92 : 3,980.48 = 2,328.08 : x
  2. Step 2: Convert to fraction form
    2,883.92/3,980.48 = 2,328.08/x
  3. Step 3: Cross multiply
    2,883.92x = 3,980.48 × 2,328.08
  4. Step 4: Simplify right side
    2,883.92x = 9,266,875.88
  5. Step 5: Solve for x
    x = 9,266,875.88/2,883.92
  6. Step 6: Final answer
    x = 3,213.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.