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Finding the Fourth Proportional to 1,804.21, 2,706.54 and 571.18

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Solution

The fourth proportional to 1,804.21, 2,706.54 and 571.18 is: 856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.21 : 2,706.54 = 571.18 : x
  2. Step 2: Convert to fraction form
    1,804.21/2,706.54 = 571.18/x
  3. Step 3: Cross multiply
    1,804.21x = 2,706.54 × 571.18
  4. Step 4: Simplify right side
    1,804.21x = 1,545,911.68
  5. Step 5: Solve for x
    x = 1,545,911.68/1,804.21
  6. Step 6: Final answer
    x = 856.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.