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Finding the Fourth Proportional to 1,699.56, 2,533.38 and 1,625.76

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Solution

The fourth proportional to 1,699.56, 2,533.38 and 1,625.76 is: 2,423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.56 : 2,533.38 = 1,625.76 : x
  2. Step 2: Convert to fraction form
    1,699.56/2,533.38 = 1,625.76/x
  3. Step 3: Cross multiply
    1,699.56x = 2,533.38 × 1,625.76
  4. Step 4: Simplify right side
    1,699.56x = 4,118,667.87
  5. Step 5: Solve for x
    x = 4,118,667.87/1,699.56
  6. Step 6: Final answer
    x = 2,423.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.