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Finding the Fourth Proportional to 2,833.25, 3,909.72 and 1,574.24

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Solution

The fourth proportional to 2,833.25, 3,909.72 and 1,574.24 is: 2,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.25 : 3,909.72 = 1,574.24 : x
  2. Step 2: Convert to fraction form
    2,833.25/3,909.72 = 1,574.24/x
  3. Step 3: Cross multiply
    2,833.25x = 3,909.72 × 1,574.24
  4. Step 4: Simplify right side
    2,833.25x = 6,154,815.11
  5. Step 5: Solve for x
    x = 6,154,815.11/2,833.25
  6. Step 6: Final answer
    x = 2,172.35

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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.