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Finding the Fourth Proportional to 2,574.25, 3,862.62 and 1,404.20

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Solution

The fourth proportional to 2,574.25, 3,862.62 and 1,404.20 is: 2,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.25 : 3,862.62 = 1,404.20 : x
  2. Step 2: Convert to fraction form
    2,574.25/3,862.62 = 1,404.20/x
  3. Step 3: Cross multiply
    2,574.25x = 3,862.62 × 1,404.20
  4. Step 4: Simplify right side
    2,574.25x = 5,423,900.66
  5. Step 5: Solve for x
    x = 5,423,900.66/2,574.25
  6. Step 6: Final answer
    x = 2,106.98

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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.