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Finding the Fourth Proportional to 1,807.42, 2,493.74 and 1,364.26

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Solution

The fourth proportional to 1,807.42, 2,493.74 and 1,364.26 is: 1,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.42 : 2,493.74 = 1,364.26 : x
  2. Step 2: Convert to fraction form
    1,807.42/2,493.74 = 1,364.26/x
  3. Step 3: Cross multiply
    1,807.42x = 2,493.74 × 1,364.26
  4. Step 4: Simplify right side
    1,807.42x = 3,402,109.73
  5. Step 5: Solve for x
    x = 3,402,109.73/1,807.42
  6. Step 6: Final answer
    x = 1,882.30

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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.