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Finding the Fourth Proportional to 2,337.36, 3,506.26 and 776.84

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Solution

The fourth proportional to 2,337.36, 3,506.26 and 776.84 is: 1,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.36 : 3,506.26 = 776.84 : x
  2. Step 2: Convert to fraction form
    2,337.36/3,506.26 = 776.84/x
  3. Step 3: Cross multiply
    2,337.36x = 3,506.26 × 776.84
  4. Step 4: Simplify right side
    2,337.36x = 2,723,806.91
  5. Step 5: Solve for x
    x = 2,723,806.91/2,337.36
  6. Step 6: Final answer
    x = 1,165.34

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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.