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Finding the Fourth Proportional to 1,786.95, 2,673.95 and 1,509.93

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Solution

The fourth proportional to 1,786.95, 2,673.95 and 1,509.93 is: 2,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.95 : 2,673.95 = 1,509.93 : x
  2. Step 2: Convert to fraction form
    1,786.95/2,673.95 = 1,509.93/x
  3. Step 3: Cross multiply
    1,786.95x = 2,673.95 × 1,509.93
  4. Step 4: Simplify right side
    1,786.95x = 4,037,469.77
  5. Step 5: Solve for x
    x = 4,037,469.77/1,786.95
  6. Step 6: Final answer
    x = 2,259.42

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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.