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Finding the Fourth Proportional to 2,776.85, 4,165.39 and 928.02

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Solution

The fourth proportional to 2,776.85, 4,165.39 and 928.02 is: 1,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.85 : 4,165.39 = 928.02 : x
  2. Step 2: Convert to fraction form
    2,776.85/4,165.39 = 928.02/x
  3. Step 3: Cross multiply
    2,776.85x = 4,165.39 × 928.02
  4. Step 4: Simplify right side
    2,776.85x = 3,865,582.01
  5. Step 5: Solve for x
    x = 3,865,582.01/2,776.85
  6. Step 6: Final answer
    x = 1,392.08

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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.