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Finding the Fourth Proportional to 3,164.34, 4,746.48 and 1,874

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Solution

The fourth proportional to 3,164.34, 4,746.48 and 1,874 is: 2,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.34 : 4,746.48 = 1,874 : x
  2. Step 2: Convert to fraction form
    3,164.34/4,746.48 = 1,874/x
  3. Step 3: Cross multiply
    3,164.34x = 4,746.48 × 1,874
  4. Step 4: Simplify right side
    3,164.34x = 8,894,903.52
  5. Step 5: Solve for x
    x = 8,894,903.52/3,164.34
  6. Step 6: Final answer
    x = 2,810.98

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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.