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Finding the Fourth Proportional to 2,967.18, 4,094.19 and 1,847.76

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Solution

The fourth proportional to 2,967.18, 4,094.19 and 1,847.76 is: 2,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.18 : 4,094.19 = 1,847.76 : x
  2. Step 2: Convert to fraction form
    2,967.18/4,094.19 = 1,847.76/x
  3. Step 3: Cross multiply
    2,967.18x = 4,094.19 × 1,847.76
  4. Step 4: Simplify right side
    2,967.18x = 7,565,080.51
  5. Step 5: Solve for x
    x = 7,565,080.51/2,967.18
  6. Step 6: Final answer
    x = 2,549.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.