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Finding the Fourth Proportional to 2,140.90, 3,211.55 and 842.06

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Solution

The fourth proportional to 2,140.90, 3,211.55 and 842.06 is: 1,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.90 : 3,211.55 = 842.06 : x
  2. Step 2: Convert to fraction form
    2,140.90/3,211.55 = 842.06/x
  3. Step 3: Cross multiply
    2,140.90x = 3,211.55 × 842.06
  4. Step 4: Simplify right side
    2,140.90x = 2,704,324.77
  5. Step 5: Solve for x
    x = 2,704,324.77/2,140.90
  6. Step 6: Final answer
    x = 1,263.17

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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.