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Finding the Fourth Proportional to 1,859.36, 2,783.60 and 1,431.52

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Solution

The fourth proportional to 1,859.36, 2,783.60 and 1,431.52 is: 2,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.36 : 2,783.60 = 1,431.52 : x
  2. Step 2: Convert to fraction form
    1,859.36/2,783.60 = 1,431.52/x
  3. Step 3: Cross multiply
    1,859.36x = 2,783.60 × 1,431.52
  4. Step 4: Simplify right side
    1,859.36x = 3,984,779.07
  5. Step 5: Solve for x
    x = 3,984,779.07/1,859.36
  6. Step 6: Final answer
    x = 2,143.09

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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.