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Finding the Fourth Proportional to 2,596.00, 3,894.81 and 930.14

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Solution

The fourth proportional to 2,596.00, 3,894.81 and 930.14 is: 1,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.00 : 3,894.81 = 930.14 : x
  2. Step 2: Convert to fraction form
    2,596.00/3,894.81 = 930.14/x
  3. Step 3: Cross multiply
    2,596.00x = 3,894.81 × 930.14
  4. Step 4: Simplify right side
    2,596.00x = 3,622,730.64
  5. Step 5: Solve for x
    x = 3,622,730.64/2,596.00
  6. Step 6: Final answer
    x = 1,395.50

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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.