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Finding the Fourth Proportional to 1,698.31, 2,544.27 and 874.54

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Solution

The fourth proportional to 1,698.31, 2,544.27 and 874.54 is: 1,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.31 : 2,544.27 = 874.54 : x
  2. Step 2: Convert to fraction form
    1,698.31/2,544.27 = 874.54/x
  3. Step 3: Cross multiply
    1,698.31x = 2,544.27 × 874.54
  4. Step 4: Simplify right side
    1,698.31x = 2,225,065.89
  5. Step 5: Solve for x
    x = 2,225,065.89/1,698.31
  6. Step 6: Final answer
    x = 1,310.16

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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.