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Finding the Fourth Proportional to 1,804.30, 2,706.04 and 571.81

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Solution

The fourth proportional to 1,804.30, 2,706.04 and 571.81 is: 857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.30 : 2,706.04 = 571.81 : x
  2. Step 2: Convert to fraction form
    1,804.30/2,706.04 = 571.81/x
  3. Step 3: Cross multiply
    1,804.30x = 2,706.04 × 571.81
  4. Step 4: Simplify right side
    1,804.30x = 1,547,340.73
  5. Step 5: Solve for x
    x = 1,547,340.73/1,804.30
  6. Step 6: Final answer
    x = 857.59

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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.