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Finding the Fourth Proportional to 2,807.39, 4,211.60 and 1,164.07

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Solution

The fourth proportional to 2,807.39, 4,211.60 and 1,164.07 is: 1,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.39 : 4,211.60 = 1,164.07 : x
  2. Step 2: Convert to fraction form
    2,807.39/4,211.60 = 1,164.07/x
  3. Step 3: Cross multiply
    2,807.39x = 4,211.60 × 1,164.07
  4. Step 4: Simplify right side
    2,807.39x = 4,902,596.66
  5. Step 5: Solve for x
    x = 4,902,596.66/2,807.39
  6. Step 6: Final answer
    x = 1,746.32

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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.