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Finding the Fourth Proportional to 2,977.72, 4,108.60 and 1,735

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Solution

The fourth proportional to 2,977.72, 4,108.60 and 1,735 is: 2,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.72 : 4,108.60 = 1,735 : x
  2. Step 2: Convert to fraction form
    2,977.72/4,108.60 = 1,735/x
  3. Step 3: Cross multiply
    2,977.72x = 4,108.60 × 1,735
  4. Step 4: Simplify right side
    2,977.72x = 7,128,421.00
  5. Step 5: Solve for x
    x = 7,128,421.00/2,977.72
  6. Step 6: Final answer
    x = 2,393.92

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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.