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Finding the Fourth Proportional to 2,153.06, 3,214 and 1,862.36

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Solution

The fourth proportional to 2,153.06, 3,214 and 1,862.36 is: 2,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.06 : 3,214 = 1,862.36 : x
  2. Step 2: Convert to fraction form
    2,153.06/3,214 = 1,862.36/x
  3. Step 3: Cross multiply
    2,153.06x = 3,214 × 1,862.36
  4. Step 4: Simplify right side
    2,153.06x = 5,985,625.04
  5. Step 5: Solve for x
    x = 5,985,625.04/2,153.06
  6. Step 6: Final answer
    x = 2,780.05

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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.