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Finding the Fourth Proportional to 1,804.61, 2,706.91 and 1,476.56

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Solution

The fourth proportional to 1,804.61, 2,706.91 and 1,476.56 is: 2,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.61 : 2,706.91 = 1,476.56 : x
  2. Step 2: Convert to fraction form
    1,804.61/2,706.91 = 1,476.56/x
  3. Step 3: Cross multiply
    1,804.61x = 2,706.91 × 1,476.56
  4. Step 4: Simplify right side
    1,804.61x = 3,996,915.03
  5. Step 5: Solve for x
    x = 3,996,915.03/1,804.61
  6. Step 6: Final answer
    x = 2,214.84

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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.