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Finding the Fourth Proportional to 2,029.70, 2,801 and 1,283.98

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Solution

The fourth proportional to 2,029.70, 2,801 and 1,283.98 is: 1,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.70 : 2,801 = 1,283.98 : x
  2. Step 2: Convert to fraction form
    2,029.70/2,801 = 1,283.98/x
  3. Step 3: Cross multiply
    2,029.70x = 2,801 × 1,283.98
  4. Step 4: Simplify right side
    2,029.70x = 3,596,427.98
  5. Step 5: Solve for x
    x = 3,596,427.98/2,029.70
  6. Step 6: Final answer
    x = 1,771.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.