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Finding the Fourth Proportional to 2,702.69, 4,054.20 and 853.86

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Solution

The fourth proportional to 2,702.69, 4,054.20 and 853.86 is: 1,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.69 : 4,054.20 = 853.86 : x
  2. Step 2: Convert to fraction form
    2,702.69/4,054.20 = 853.86/x
  3. Step 3: Cross multiply
    2,702.69x = 4,054.20 × 853.86
  4. Step 4: Simplify right side
    2,702.69x = 3,461,719.21
  5. Step 5: Solve for x
    x = 3,461,719.21/2,702.69
  6. Step 6: Final answer
    x = 1,280.84

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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.