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Finding the Fourth Proportional to 1,892.60, 2,823.16 and 1,862.36

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Solution

The fourth proportional to 1,892.60, 2,823.16 and 1,862.36 is: 2,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.60 : 2,823.16 = 1,862.36 : x
  2. Step 2: Convert to fraction form
    1,892.60/2,823.16 = 1,862.36/x
  3. Step 3: Cross multiply
    1,892.60x = 2,823.16 × 1,862.36
  4. Step 4: Simplify right side
    1,892.60x = 5,257,740.26
  5. Step 5: Solve for x
    x = 5,257,740.26/1,892.60
  6. Step 6: Final answer
    x = 2,778.05

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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.