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Finding the Fourth Proportional to 2,029.80, 3,045.30 and 860.30

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Solution

The fourth proportional to 2,029.80, 3,045.30 and 860.30 is: 1,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.80 : 3,045.30 = 860.30 : x
  2. Step 2: Convert to fraction form
    2,029.80/3,045.30 = 860.30/x
  3. Step 3: Cross multiply
    2,029.80x = 3,045.30 × 860.30
  4. Step 4: Simplify right side
    2,029.80x = 2,619,871.59
  5. Step 5: Solve for x
    x = 2,619,871.59/2,029.80
  6. Step 6: Final answer
    x = 1,290.70

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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.