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Finding the Fourth Proportional to 2,574.24, 3,862.88 and 1,784.22

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Solution

The fourth proportional to 2,574.24, 3,862.88 and 1,784.22 is: 2,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.24 : 3,862.88 = 1,784.22 : x
  2. Step 2: Convert to fraction form
    2,574.24/3,862.88 = 1,784.22/x
  3. Step 3: Cross multiply
    2,574.24x = 3,862.88 × 1,784.22
  4. Step 4: Simplify right side
    2,574.24x = 6,892,218.83
  5. Step 5: Solve for x
    x = 6,892,218.83/2,574.24
  6. Step 6: Final answer
    x = 2,677.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.