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Finding the Fourth Proportional to 1,681.77, 2,522.56 and 804.89

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Solution

The fourth proportional to 1,681.77, 2,522.56 and 804.89 is: 1,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.77 : 2,522.56 = 804.89 : x
  2. Step 2: Convert to fraction form
    1,681.77/2,522.56 = 804.89/x
  3. Step 3: Cross multiply
    1,681.77x = 2,522.56 × 804.89
  4. Step 4: Simplify right side
    1,681.77x = 2,030,387.61
  5. Step 5: Solve for x
    x = 2,030,387.61/1,681.77
  6. Step 6: Final answer
    x = 1,207.29

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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.