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Finding the Fourth Proportional to 2,698.34, 4,047.51 and 967.01

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Solution

The fourth proportional to 2,698.34, 4,047.51 and 967.01 is: 1,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.34 : 4,047.51 = 967.01 : x
  2. Step 2: Convert to fraction form
    2,698.34/4,047.51 = 967.01/x
  3. Step 3: Cross multiply
    2,698.34x = 4,047.51 × 967.01
  4. Step 4: Simplify right side
    2,698.34x = 3,913,982.65
  5. Step 5: Solve for x
    x = 3,913,982.65/2,698.34
  6. Step 6: Final answer
    x = 1,450.52

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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.