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Finding the Fourth Proportional to 1,789.86, 2,468.04 and 1,457.70

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Solution

The fourth proportional to 1,789.86, 2,468.04 and 1,457.70 is: 2,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.86 : 2,468.04 = 1,457.70 : x
  2. Step 2: Convert to fraction form
    1,789.86/2,468.04 = 1,457.70/x
  3. Step 3: Cross multiply
    1,789.86x = 2,468.04 × 1,457.70
  4. Step 4: Simplify right side
    1,789.86x = 3,597,661.91
  5. Step 5: Solve for x
    x = 3,597,661.91/1,789.86
  6. Step 6: Final answer
    x = 2,010.02

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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.