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Finding the Fourth Proportional to 2,420.13, 3,630.77 and 776.55

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Solution

The fourth proportional to 2,420.13, 3,630.77 and 776.55 is: 1,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.13 : 3,630.77 = 776.55 : x
  2. Step 2: Convert to fraction form
    2,420.13/3,630.77 = 776.55/x
  3. Step 3: Cross multiply
    2,420.13x = 3,630.77 × 776.55
  4. Step 4: Simplify right side
    2,420.13x = 2,819,470.56
  5. Step 5: Solve for x
    x = 2,819,470.56/2,420.13
  6. Step 6: Final answer
    x = 1,165.01

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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.