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Finding the Fourth Proportional to 1,684.53, 2,528.40 and 1,216.47

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Solution

The fourth proportional to 1,684.53, 2,528.40 and 1,216.47 is: 1,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.53 : 2,528.40 = 1,216.47 : x
  2. Step 2: Convert to fraction form
    1,684.53/2,528.40 = 1,216.47/x
  3. Step 3: Cross multiply
    1,684.53x = 2,528.40 × 1,216.47
  4. Step 4: Simplify right side
    1,684.53x = 3,075,722.75
  5. Step 5: Solve for x
    x = 3,075,722.75/1,684.53
  6. Step 6: Final answer
    x = 1,825.86

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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.