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Finding the Fourth Proportional to 2,977.25, 4,108.62 and 1,735.25

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Solution

The fourth proportional to 2,977.25, 4,108.62 and 1,735.25 is: 2,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.25 : 4,108.62 = 1,735.25 : x
  2. Step 2: Convert to fraction form
    2,977.25/4,108.62 = 1,735.25/x
  3. Step 3: Cross multiply
    2,977.25x = 4,108.62 × 1,735.25
  4. Step 4: Simplify right side
    2,977.25x = 7,129,482.86
  5. Step 5: Solve for x
    x = 7,129,482.86/2,977.25
  6. Step 6: Final answer
    x = 2,394.65

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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.