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Finding the Fourth Proportional to 2,625.89, 3,624.89 and 1,564.00

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Solution

The fourth proportional to 2,625.89, 3,624.89 and 1,564.00 is: 2,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.89 : 3,624.89 = 1,564.00 : x
  2. Step 2: Convert to fraction form
    2,625.89/3,624.89 = 1,564.00/x
  3. Step 3: Cross multiply
    2,625.89x = 3,624.89 × 1,564.00
  4. Step 4: Simplify right side
    2,625.89x = 5,669,311.08
  5. Step 5: Solve for x
    x = 5,669,311.08/2,625.89
  6. Step 6: Final answer
    x = 2,159.01

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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.