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Finding the Fourth Proportional to 1,429.70, 2,005.90 and 1,429.70

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Solution

The fourth proportional to 1,429.70, 2,005.90 and 1,429.70 is: 2,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.70 : 2,005.90 = 1,429.70 : x
  2. Step 2: Convert to fraction form
    1,429.70/2,005.90 = 1,429.70/x
  3. Step 3: Cross multiply
    1,429.70x = 2,005.90 × 1,429.70
  4. Step 4: Simplify right side
    1,429.70x = 2,867,835.23
  5. Step 5: Solve for x
    x = 2,867,835.23/1,429.70
  6. Step 6: Final answer
    x = 2,005.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.