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Finding the Fourth Proportional to 2,756.72, 4,132.92 and 1,457.48

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Solution

The fourth proportional to 2,756.72, 4,132.92 and 1,457.48 is: 2,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.72 : 4,132.92 = 1,457.48 : x
  2. Step 2: Convert to fraction form
    2,756.72/4,132.92 = 1,457.48/x
  3. Step 3: Cross multiply
    2,756.72x = 4,132.92 × 1,457.48
  4. Step 4: Simplify right side
    2,756.72x = 6,023,648.24
  5. Step 5: Solve for x
    x = 6,023,648.24/2,756.72
  6. Step 6: Final answer
    x = 2,185.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.