Home / 2,004.03-3,006.14-705.50

Finding the Fourth Proportional to 2,004.03, 3,006.14 and 705.50

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Solution

The fourth proportional to 2,004.03, 3,006.14 and 705.50 is: 1,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.03 : 3,006.14 = 705.50 : x
  2. Step 2: Convert to fraction form
    2,004.03/3,006.14 = 705.50/x
  3. Step 3: Cross multiply
    2,004.03x = 3,006.14 × 705.50
  4. Step 4: Simplify right side
    2,004.03x = 2,120,813.21
  5. Step 5: Solve for x
    x = 2,120,813.21/2,004.03
  6. Step 6: Final answer
    x = 1,058.27

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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.