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Finding the Fourth Proportional to 2,664.52, 3,677.76 and 1,670.32

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Solution

The fourth proportional to 2,664.52, 3,677.76 and 1,670.32 is: 2,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.52 : 3,677.76 = 1,670.32 : x
  2. Step 2: Convert to fraction form
    2,664.52/3,677.76 = 1,670.32/x
  3. Step 3: Cross multiply
    2,664.52x = 3,677.76 × 1,670.32
  4. Step 4: Simplify right side
    2,664.52x = 6,143,036.08
  5. Step 5: Solve for x
    x = 6,143,036.08/2,664.52
  6. Step 6: Final answer
    x = 2,305.49

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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.