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Finding the Fourth Proportional to 2,114.35, 2,964.95 and 2,114.35

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Solution

The fourth proportional to 2,114.35, 2,964.95 and 2,114.35 is: 2,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.35 : 2,964.95 = 2,114.35 : x
  2. Step 2: Convert to fraction form
    2,114.35/2,964.95 = 2,114.35/x
  3. Step 3: Cross multiply
    2,114.35x = 2,964.95 × 2,114.35
  4. Step 4: Simplify right side
    2,114.35x = 6,268,942.03
  5. Step 5: Solve for x
    x = 6,268,942.03/2,114.35
  6. Step 6: Final answer
    x = 2,964.95

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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.