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Finding the Fourth Proportional to 1,882.80, 2,598.48 and 1,822.32

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Solution

The fourth proportional to 1,882.80, 2,598.48 and 1,822.32 is: 2,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.80 : 2,598.48 = 1,822.32 : x
  2. Step 2: Convert to fraction form
    1,882.80/2,598.48 = 1,822.32/x
  3. Step 3: Cross multiply
    1,882.80x = 2,598.48 × 1,822.32
  4. Step 4: Simplify right side
    1,882.80x = 4,735,262.07
  5. Step 5: Solve for x
    x = 4,735,262.07/1,882.80
  6. Step 6: Final answer
    x = 2,515.01

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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.