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Finding the Fourth Proportional to 1,830.22, 2,529.86 and 1,684.91

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Solution

The fourth proportional to 1,830.22, 2,529.86 and 1,684.91 is: 2,329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.22 : 2,529.86 = 1,684.91 : x
  2. Step 2: Convert to fraction form
    1,830.22/2,529.86 = 1,684.91/x
  3. Step 3: Cross multiply
    1,830.22x = 2,529.86 × 1,684.91
  4. Step 4: Simplify right side
    1,830.22x = 4,262,584.60
  5. Step 5: Solve for x
    x = 4,262,584.60/1,830.22
  6. Step 6: Final answer
    x = 2,329.00

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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.