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Finding the Fourth Proportional to 3,159.90, 4,738.59 and 967.86

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Solution

The fourth proportional to 3,159.90, 4,738.59 and 967.86 is: 1,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.90 : 4,738.59 = 967.86 : x
  2. Step 2: Convert to fraction form
    3,159.90/4,738.59 = 967.86/x
  3. Step 3: Cross multiply
    3,159.90x = 4,738.59 × 967.86
  4. Step 4: Simplify right side
    3,159.90x = 4,586,291.72
  5. Step 5: Solve for x
    x = 4,586,291.72/3,159.90
  6. Step 6: Final answer
    x = 1,451.40

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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.