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Finding the Fourth Proportional to 2,775.69, 3,829.71 and 1,656.12

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Solution

The fourth proportional to 2,775.69, 3,829.71 and 1,656.12 is: 2,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.69 : 3,829.71 = 1,656.12 : x
  2. Step 2: Convert to fraction form
    2,775.69/3,829.71 = 1,656.12/x
  3. Step 3: Cross multiply
    2,775.69x = 3,829.71 × 1,656.12
  4. Step 4: Simplify right side
    2,775.69x = 6,342,459.33
  5. Step 5: Solve for x
    x = 6,342,459.33/2,775.69
  6. Step 6: Final answer
    x = 2,285.00

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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.