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Finding the Fourth Proportional to 3,466.86, 4,784.26 and 1,873.50

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Solution

The fourth proportional to 3,466.86, 4,784.26 and 1,873.50 is: 2,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.86 : 4,784.26 = 1,873.50 : x
  2. Step 2: Convert to fraction form
    3,466.86/4,784.26 = 1,873.50/x
  3. Step 3: Cross multiply
    3,466.86x = 4,784.26 × 1,873.50
  4. Step 4: Simplify right side
    3,466.86x = 8,963,311.11
  5. Step 5: Solve for x
    x = 8,963,311.11/3,466.86
  6. Step 6: Final answer
    x = 2,585.43

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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.