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Finding the Fourth Proportional to 2,970.81, 4,098.63 and 1,820.61

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Solution

The fourth proportional to 2,970.81, 4,098.63 and 1,820.61 is: 2,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.81 : 4,098.63 = 1,820.61 : x
  2. Step 2: Convert to fraction form
    2,970.81/4,098.63 = 1,820.61/x
  3. Step 3: Cross multiply
    2,970.81x = 4,098.63 × 1,820.61
  4. Step 4: Simplify right side
    2,970.81x = 7,462,013.59
  5. Step 5: Solve for x
    x = 7,462,013.59/2,970.81
  6. Step 6: Final answer
    x = 2,511.78

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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.