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Finding the Fourth Proportional to 2,784.36, 4,174.08 and 1,054.20

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Solution

The fourth proportional to 2,784.36, 4,174.08 and 1,054.20 is: 1,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.36 : 4,174.08 = 1,054.20 : x
  2. Step 2: Convert to fraction form
    2,784.36/4,174.08 = 1,054.20/x
  3. Step 3: Cross multiply
    2,784.36x = 4,174.08 × 1,054.20
  4. Step 4: Simplify right side
    2,784.36x = 4,400,315.14
  5. Step 5: Solve for x
    x = 4,400,315.14/2,784.36
  6. Step 6: Final answer
    x = 1,580.37

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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.