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Finding the Fourth Proportional to 3,281.48, 4,921.74 and 1,229

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Solution

The fourth proportional to 3,281.48, 4,921.74 and 1,229 is: 1,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.48 : 4,921.74 = 1,229 : x
  2. Step 2: Convert to fraction form
    3,281.48/4,921.74 = 1,229/x
  3. Step 3: Cross multiply
    3,281.48x = 4,921.74 × 1,229
  4. Step 4: Simplify right side
    3,281.48x = 6,048,818.46
  5. Step 5: Solve for x
    x = 6,048,818.46/3,281.48
  6. Step 6: Final answer
    x = 1,843.32

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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.