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Finding the Fourth Proportional to 2,070.48, 3,105.71 and 1,456.93

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Solution

The fourth proportional to 2,070.48, 3,105.71 and 1,456.93 is: 2,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.48 : 3,105.71 = 1,456.93 : x
  2. Step 2: Convert to fraction form
    2,070.48/3,105.71 = 1,456.93/x
  3. Step 3: Cross multiply
    2,070.48x = 3,105.71 × 1,456.93
  4. Step 4: Simplify right side
    2,070.48x = 4,524,786.54
  5. Step 5: Solve for x
    x = 4,524,786.54/2,070.48
  6. Step 6: Final answer
    x = 2,185.38

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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.