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Finding the Fourth Proportional to 2,709.86, 4,065.44 and 1,393.07

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Solution

The fourth proportional to 2,709.86, 4,065.44 and 1,393.07 is: 2,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.86 : 4,065.44 = 1,393.07 : x
  2. Step 2: Convert to fraction form
    2,709.86/4,065.44 = 1,393.07/x
  3. Step 3: Cross multiply
    2,709.86x = 4,065.44 × 1,393.07
  4. Step 4: Simplify right side
    2,709.86x = 5,663,415.21
  5. Step 5: Solve for x
    x = 5,663,415.21/2,709.86
  6. Step 6: Final answer
    x = 2,089.93

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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.