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Finding the Fourth Proportional to 1,674.56, 2,509.85 and 1,262.34

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Solution

The fourth proportional to 1,674.56, 2,509.85 and 1,262.34 is: 1,892.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.56 : 2,509.85 = 1,262.34 : x
  2. Step 2: Convert to fraction form
    1,674.56/2,509.85 = 1,262.34/x
  3. Step 3: Cross multiply
    1,674.56x = 2,509.85 × 1,262.34
  4. Step 4: Simplify right side
    1,674.56x = 3,168,284.05
  5. Step 5: Solve for x
    x = 3,168,284.05/1,674.56
  6. Step 6: Final answer
    x = 1,892.01

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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.