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Finding the Fourth Proportional to 1,804.13, 2,706.39 and 830.91

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Solution

The fourth proportional to 1,804.13, 2,706.39 and 830.91 is: 1,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.13 : 2,706.39 = 830.91 : x
  2. Step 2: Convert to fraction form
    1,804.13/2,706.39 = 830.91/x
  3. Step 3: Cross multiply
    1,804.13x = 2,706.39 × 830.91
  4. Step 4: Simplify right side
    1,804.13x = 2,248,766.51
  5. Step 5: Solve for x
    x = 2,248,766.51/1,804.13
  6. Step 6: Final answer
    x = 1,246.46

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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.