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Finding the Fourth Proportional to 1,835.87, 2,525.99 and 1,586.39

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Solution

The fourth proportional to 1,835.87, 2,525.99 and 1,586.39 is: 2,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.87 : 2,525.99 = 1,586.39 : x
  2. Step 2: Convert to fraction form
    1,835.87/2,525.99 = 1,586.39/x
  3. Step 3: Cross multiply
    1,835.87x = 2,525.99 × 1,586.39
  4. Step 4: Simplify right side
    1,835.87x = 4,007,184.71
  5. Step 5: Solve for x
    x = 4,007,184.71/1,835.87
  6. Step 6: Final answer
    x = 2,182.72

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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.