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Finding the Fourth Proportional to 2,317.51, 3,475.65 and 857.08

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Solution

The fourth proportional to 2,317.51, 3,475.65 and 857.08 is: 1,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.51 : 3,475.65 = 857.08 : x
  2. Step 2: Convert to fraction form
    2,317.51/3,475.65 = 857.08/x
  3. Step 3: Cross multiply
    2,317.51x = 3,475.65 × 857.08
  4. Step 4: Simplify right side
    2,317.51x = 2,978,892.72
  5. Step 5: Solve for x
    x = 2,978,892.72/2,317.51
  6. Step 6: Final answer
    x = 1,285.39

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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.