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Finding the Fourth Proportional to 1,807.56, 2,494.50 and 1,021.56

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Solution

The fourth proportional to 1,807.56, 2,494.50 and 1,021.56 is: 1,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.56 : 2,494.50 = 1,021.56 : x
  2. Step 2: Convert to fraction form
    1,807.56/2,494.50 = 1,021.56/x
  3. Step 3: Cross multiply
    1,807.56x = 2,494.50 × 1,021.56
  4. Step 4: Simplify right side
    1,807.56x = 2,548,281.42
  5. Step 5: Solve for x
    x = 2,548,281.42/1,807.56
  6. Step 6: Final answer
    x = 1,409.79

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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.