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Finding the Fourth Proportional to 2,014.48, 2,777.25 and 1,491.76

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Solution

The fourth proportional to 2,014.48, 2,777.25 and 1,491.76 is: 2,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.48 : 2,777.25 = 1,491.76 : x
  2. Step 2: Convert to fraction form
    2,014.48/2,777.25 = 1,491.76/x
  3. Step 3: Cross multiply
    2,014.48x = 2,777.25 × 1,491.76
  4. Step 4: Simplify right side
    2,014.48x = 4,142,990.46
  5. Step 5: Solve for x
    x = 4,142,990.46/2,014.48
  6. Step 6: Final answer
    x = 2,056.61

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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.