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Finding the Fourth Proportional to 4,689.64, 7,034.32 and 1,226.90

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Solution

The fourth proportional to 4,689.64, 7,034.32 and 1,226.90 is: 1,840.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.64 : 7,034.32 = 1,226.90 : x
  2. Step 2: Convert to fraction form
    4,689.64/7,034.32 = 1,226.90/x
  3. Step 3: Cross multiply
    4,689.64x = 7,034.32 × 1,226.90
  4. Step 4: Simplify right side
    4,689.64x = 8,630,407.21
  5. Step 5: Solve for x
    x = 8,630,407.21/4,689.64
  6. Step 6: Final answer
    x = 1,840.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.