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Finding the Fourth Proportional to 2,783.58, 4,174.02 and 1,052.34

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Solution

The fourth proportional to 2,783.58, 4,174.02 and 1,052.34 is: 1,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.58 : 4,174.02 = 1,052.34 : x
  2. Step 2: Convert to fraction form
    2,783.58/4,174.02 = 1,052.34/x
  3. Step 3: Cross multiply
    2,783.58x = 4,174.02 × 1,052.34
  4. Step 4: Simplify right side
    2,783.58x = 4,392,488.21
  5. Step 5: Solve for x
    x = 4,392,488.21/2,783.58
  6. Step 6: Final answer
    x = 1,578.00

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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.