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Finding the Fourth Proportional to 2,036.85, 3,055.70 and 866.85

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Solution

The fourth proportional to 2,036.85, 3,055.70 and 866.85 is: 1,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.85 : 3,055.70 = 866.85 : x
  2. Step 2: Convert to fraction form
    2,036.85/3,055.70 = 866.85/x
  3. Step 3: Cross multiply
    2,036.85x = 3,055.70 × 866.85
  4. Step 4: Simplify right side
    2,036.85x = 2,648,833.55
  5. Step 5: Solve for x
    x = 2,648,833.55/2,036.85
  6. Step 6: Final answer
    x = 1,300.46

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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.