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Finding the Fourth Proportional to 2,065.14, 2,855.28 and 1,973.34

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Solution

The fourth proportional to 2,065.14, 2,855.28 and 1,973.34 is: 2,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.14 : 2,855.28 = 1,973.34 : x
  2. Step 2: Convert to fraction form
    2,065.14/2,855.28 = 1,973.34/x
  3. Step 3: Cross multiply
    2,065.14x = 2,855.28 × 1,973.34
  4. Step 4: Simplify right side
    2,065.14x = 5,634,438.24
  5. Step 5: Solve for x
    x = 5,634,438.24/2,065.14
  6. Step 6: Final answer
    x = 2,728.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.