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Finding the Fourth Proportional to 1,922.04, 2,862.63 and 1,823.22

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Solution

The fourth proportional to 1,922.04, 2,862.63 and 1,823.22 is: 2,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.04 : 2,862.63 = 1,823.22 : x
  2. Step 2: Convert to fraction form
    1,922.04/2,862.63 = 1,823.22/x
  3. Step 3: Cross multiply
    1,922.04x = 2,862.63 × 1,823.22
  4. Step 4: Simplify right side
    1,922.04x = 5,219,204.27
  5. Step 5: Solve for x
    x = 5,219,204.27/1,922.04
  6. Step 6: Final answer
    x = 2,715.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.