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Finding the Fourth Proportional to 2,656.26, 3,665.88 and 1,477.62

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Solution

The fourth proportional to 2,656.26, 3,665.88 and 1,477.62 is: 2,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.26 : 3,665.88 = 1,477.62 : x
  2. Step 2: Convert to fraction form
    2,656.26/3,665.88 = 1,477.62/x
  3. Step 3: Cross multiply
    2,656.26x = 3,665.88 × 1,477.62
  4. Step 4: Simplify right side
    2,656.26x = 5,416,777.61
  5. Step 5: Solve for x
    x = 5,416,777.61/2,656.26
  6. Step 6: Final answer
    x = 2,039.25

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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.