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Finding the Fourth Proportional to 3,466.04, 4,783 and 1,894.16

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Solution

The fourth proportional to 3,466.04, 4,783 and 1,894.16 is: 2,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.04 : 4,783 = 1,894.16 : x
  2. Step 2: Convert to fraction form
    3,466.04/4,783 = 1,894.16/x
  3. Step 3: Cross multiply
    3,466.04x = 4,783 × 1,894.16
  4. Step 4: Simplify right side
    3,466.04x = 9,059,767.28
  5. Step 5: Solve for x
    x = 9,059,767.28/3,466.04
  6. Step 6: Final answer
    x = 2,613.87

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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.