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Finding the Fourth Proportional to 3,466.70, 4,784.08 and 1,894.79

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Solution

The fourth proportional to 3,466.70, 4,784.08 and 1,894.79 is: 2,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.70 : 4,784.08 = 1,894.79 : x
  2. Step 2: Convert to fraction form
    3,466.70/4,784.08 = 1,894.79/x
  3. Step 3: Cross multiply
    3,466.70x = 4,784.08 × 1,894.79
  4. Step 4: Simplify right side
    3,466.70x = 9,064,853.79
  5. Step 5: Solve for x
    x = 9,064,853.79/3,466.70
  6. Step 6: Final answer
    x = 2,614.84

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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.