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Finding the Fourth Proportional to 2,165.42, 2,986.03 and 1,457.28

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Solution

The fourth proportional to 2,165.42, 2,986.03 and 1,457.28 is: 2,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.42 : 2,986.03 = 1,457.28 : x
  2. Step 2: Convert to fraction form
    2,165.42/2,986.03 = 1,457.28/x
  3. Step 3: Cross multiply
    2,165.42x = 2,986.03 × 1,457.28
  4. Step 4: Simplify right side
    2,165.42x = 4,351,481.80
  5. Step 5: Solve for x
    x = 4,351,481.80/2,165.42
  6. Step 6: Final answer
    x = 2,009.53

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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.