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Finding the Fourth Proportional to 2,885.24, 3,980.54 and 1,822.70

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Solution

The fourth proportional to 2,885.24, 3,980.54 and 1,822.70 is: 2,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.24 : 3,980.54 = 1,822.70 : x
  2. Step 2: Convert to fraction form
    2,885.24/3,980.54 = 1,822.70/x
  3. Step 3: Cross multiply
    2,885.24x = 3,980.54 × 1,822.70
  4. Step 4: Simplify right side
    2,885.24x = 7,255,330.26
  5. Step 5: Solve for x
    x = 7,255,330.26/2,885.24
  6. Step 6: Final answer
    x = 2,514.64

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