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Finding the Fourth Proportional to 1,789.70, 2,470.93 and 1,458.92

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Solution

The fourth proportional to 1,789.70, 2,470.93 and 1,458.92 is: 2,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.70 : 2,470.93 = 1,458.92 : x
  2. Step 2: Convert to fraction form
    1,789.70/2,470.93 = 1,458.92/x
  3. Step 3: Cross multiply
    1,789.70x = 2,470.93 × 1,458.92
  4. Step 4: Simplify right side
    1,789.70x = 3,604,873.19
  5. Step 5: Solve for x
    x = 3,604,873.19/1,789.70
  6. Step 6: Final answer
    x = 2,014.24

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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.