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Finding the Fourth Proportional to 2,574.09, 3,859.16 and 1,276.47

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Solution

The fourth proportional to 2,574.09, 3,859.16 and 1,276.47 is: 1,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.09 : 3,859.16 = 1,276.47 : x
  2. Step 2: Convert to fraction form
    2,574.09/3,859.16 = 1,276.47/x
  3. Step 3: Cross multiply
    2,574.09x = 3,859.16 × 1,276.47
  4. Step 4: Simplify right side
    2,574.09x = 4,926,095.58
  5. Step 5: Solve for x
    x = 4,926,095.58/2,574.09
  6. Step 6: Final answer
    x = 1,913.72

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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.