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Finding the Fourth Proportional to 2,973.04, 4,102.61 and 1,745.55

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Solution

The fourth proportional to 2,973.04, 4,102.61 and 1,745.55 is: 2,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.04 : 4,102.61 = 1,745.55 : x
  2. Step 2: Convert to fraction form
    2,973.04/4,102.61 = 1,745.55/x
  3. Step 3: Cross multiply
    2,973.04x = 4,102.61 × 1,745.55
  4. Step 4: Simplify right side
    2,973.04x = 7,161,302.16
  5. Step 5: Solve for x
    x = 7,161,302.16/2,973.04
  6. Step 6: Final answer
    x = 2,408.75

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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.