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Finding the Fourth Proportional to 2,336.45, 3,504.65 and 693.01

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Solution

The fourth proportional to 2,336.45, 3,504.65 and 693.01 is: 1,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.45 : 3,504.65 = 693.01 : x
  2. Step 2: Convert to fraction form
    2,336.45/3,504.65 = 693.01/x
  3. Step 3: Cross multiply
    2,336.45x = 3,504.65 × 693.01
  4. Step 4: Simplify right side
    2,336.45x = 2,428,762.31
  5. Step 5: Solve for x
    x = 2,428,762.31/2,336.45
  6. Step 6: Final answer
    x = 1,039.51

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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.