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Finding the Fourth Proportional to 2,606.58, 3,596.20 and 1,544.01

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Solution

The fourth proportional to 2,606.58, 3,596.20 and 1,544.01 is: 2,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.58 : 3,596.20 = 1,544.01 : x
  2. Step 2: Convert to fraction form
    2,606.58/3,596.20 = 1,544.01/x
  3. Step 3: Cross multiply
    2,606.58x = 3,596.20 × 1,544.01
  4. Step 4: Simplify right side
    2,606.58x = 5,552,571.64
  5. Step 5: Solve for x
    x = 5,552,571.64/2,606.58
  6. Step 6: Final answer
    x = 2,130.21

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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.