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Finding the Fourth Proportional to 2,823.60, 3,898.04 and 2,192.71

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Solution

The fourth proportional to 2,823.60, 3,898.04 and 2,192.71 is: 3,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.60 : 3,898.04 = 2,192.71 : x
  2. Step 2: Convert to fraction form
    2,823.60/3,898.04 = 2,192.71/x
  3. Step 3: Cross multiply
    2,823.60x = 3,898.04 × 2,192.71
  4. Step 4: Simplify right side
    2,823.60x = 8,547,270.22
  5. Step 5: Solve for x
    x = 8,547,270.22/2,823.60
  6. Step 6: Final answer
    x = 3,027.08

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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.