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Finding the Fourth Proportional to 2,657.16, 3,670.92 and 1,772.64

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Solution

The fourth proportional to 2,657.16, 3,670.92 and 1,772.64 is: 2,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.16 : 3,670.92 = 1,772.64 : x
  2. Step 2: Convert to fraction form
    2,657.16/3,670.92 = 1,772.64/x
  3. Step 3: Cross multiply
    2,657.16x = 3,670.92 × 1,772.64
  4. Step 4: Simplify right side
    2,657.16x = 6,507,219.63
  5. Step 5: Solve for x
    x = 6,507,219.63/2,657.16
  6. Step 6: Final answer
    x = 2,448.94

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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.