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Finding the Fourth Proportional to 2,509.83, 3,464.14 and 1,670.56

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Solution

The fourth proportional to 2,509.83, 3,464.14 and 1,670.56 is: 2,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.83 : 3,464.14 = 1,670.56 : x
  2. Step 2: Convert to fraction form
    2,509.83/3,464.14 = 1,670.56/x
  3. Step 3: Cross multiply
    2,509.83x = 3,464.14 × 1,670.56
  4. Step 4: Simplify right side
    2,509.83x = 5,787,058.20
  5. Step 5: Solve for x
    x = 5,787,058.20/2,509.83
  6. Step 6: Final answer
    x = 2,305.76

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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.