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Finding the Fourth Proportional to 1,667.98, 2,299.16 and 1,313.34

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Solution

The fourth proportional to 1,667.98, 2,299.16 and 1,313.34 is: 1,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.98 : 2,299.16 = 1,313.34 : x
  2. Step 2: Convert to fraction form
    1,667.98/2,299.16 = 1,313.34/x
  3. Step 3: Cross multiply
    1,667.98x = 2,299.16 × 1,313.34
  4. Step 4: Simplify right side
    1,667.98x = 3,019,566.07
  5. Step 5: Solve for x
    x = 3,019,566.07/1,667.98
  6. Step 6: Final answer
    x = 1,810.32

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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.