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Finding the Fourth Proportional to 2,789.48, 4,185.42 and 1,057.70

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Solution

The fourth proportional to 2,789.48, 4,185.42 and 1,057.70 is: 1,587.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.48 : 4,185.42 = 1,057.70 : x
  2. Step 2: Convert to fraction form
    2,789.48/4,185.42 = 1,057.70/x
  3. Step 3: Cross multiply
    2,789.48x = 4,185.42 × 1,057.70
  4. Step 4: Simplify right side
    2,789.48x = 4,426,897.81
  5. Step 5: Solve for x
    x = 4,426,897.81/2,789.48
  6. Step 6: Final answer
    x = 1,587.00

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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.