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Finding the Fourth Proportional to 1,704.51, 2,544.28 and 1,582.54

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Solution

The fourth proportional to 1,704.51, 2,544.28 and 1,582.54 is: 2,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.51 : 2,544.28 = 1,582.54 : x
  2. Step 2: Convert to fraction form
    1,704.51/2,544.28 = 1,582.54/x
  3. Step 3: Cross multiply
    1,704.51x = 2,544.28 × 1,582.54
  4. Step 4: Simplify right side
    1,704.51x = 4,026,414.55
  5. Step 5: Solve for x
    x = 4,026,414.55/1,704.51
  6. Step 6: Final answer
    x = 2,362.21

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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.