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Finding the Fourth Proportional to 1,790.63, 2,686.86 and 866.98

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Solution

The fourth proportional to 1,790.63, 2,686.86 and 866.98 is: 1,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.63 : 2,686.86 = 866.98 : x
  2. Step 2: Convert to fraction form
    1,790.63/2,686.86 = 866.98/x
  3. Step 3: Cross multiply
    1,790.63x = 2,686.86 × 866.98
  4. Step 4: Simplify right side
    1,790.63x = 2,329,453.88
  5. Step 5: Solve for x
    x = 2,329,453.88/1,790.63
  6. Step 6: Final answer
    x = 1,300.91

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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.