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Finding the Fourth Proportional to 2,656.15, 3,665.50 and 1,477.28

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Solution

The fourth proportional to 2,656.15, 3,665.50 and 1,477.28 is: 2,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.15 : 3,665.50 = 1,477.28 : x
  2. Step 2: Convert to fraction form
    2,656.15/3,665.50 = 1,477.28/x
  3. Step 3: Cross multiply
    2,656.15x = 3,665.50 × 1,477.28
  4. Step 4: Simplify right side
    2,656.15x = 5,414,975.31
  5. Step 5: Solve for x
    x = 5,414,975.31/2,656.15
  6. Step 6: Final answer
    x = 2,038.66

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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.