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Finding the Fourth Proportional to 3,466.64, 4,783.91 and 1,894.72

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Solution

The fourth proportional to 3,466.64, 4,783.91 and 1,894.72 is: 2,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.64 : 4,783.91 = 1,894.72 : x
  2. Step 2: Convert to fraction form
    3,466.64/4,783.91 = 1,894.72/x
  3. Step 3: Cross multiply
    3,466.64x = 4,783.91 × 1,894.72
  4. Step 4: Simplify right side
    3,466.64x = 9,064,169.96
  5. Step 5: Solve for x
    x = 9,064,169.96/3,466.64
  6. Step 6: Final answer
    x = 2,614.68

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1.5x scale

Why These Related Problems?

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