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Finding the Fourth Proportional to 2,775.02, 3,829.41 and 1,656.14

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Solution

The fourth proportional to 2,775.02, 3,829.41 and 1,656.14 is: 2,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.02 : 3,829.41 = 1,656.14 : x
  2. Step 2: Convert to fraction form
    2,775.02/3,829.41 = 1,656.14/x
  3. Step 3: Cross multiply
    2,775.02x = 3,829.41 × 1,656.14
  4. Step 4: Simplify right side
    2,775.02x = 6,342,019.93
  5. Step 5: Solve for x
    x = 6,342,019.93/2,775.02
  6. Step 6: Final answer
    x = 2,285.40

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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.