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Finding the Fourth Proportional to 2,137.53, 3,206.63 and 904.94

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Solution

The fourth proportional to 2,137.53, 3,206.63 and 904.94 is: 1,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.53 : 3,206.63 = 904.94 : x
  2. Step 2: Convert to fraction form
    2,137.53/3,206.63 = 904.94/x
  3. Step 3: Cross multiply
    2,137.53x = 3,206.63 × 904.94
  4. Step 4: Simplify right side
    2,137.53x = 2,901,811.24
  5. Step 5: Solve for x
    x = 2,901,811.24/2,137.53
  6. Step 6: Final answer
    x = 1,357.56

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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.