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Finding the Fourth Proportional to 1,504.84, 2,241.80 and 1,466.68

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Solution

The fourth proportional to 1,504.84, 2,241.80 and 1,466.68 is: 2,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.84 : 2,241.80 = 1,466.68 : x
  2. Step 2: Convert to fraction form
    1,504.84/2,241.80 = 1,466.68/x
  3. Step 3: Cross multiply
    1,504.84x = 2,241.80 × 1,466.68
  4. Step 4: Simplify right side
    1,504.84x = 3,288,003.22
  5. Step 5: Solve for x
    x = 3,288,003.22/1,504.84
  6. Step 6: Final answer
    x = 2,184.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.