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Finding the Fourth Proportional to 1,852.45, 2,553.28 and 1,313.38

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Solution

The fourth proportional to 1,852.45, 2,553.28 and 1,313.38 is: 1,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.45 : 2,553.28 = 1,313.38 : x
  2. Step 2: Convert to fraction form
    1,852.45/2,553.28 = 1,313.38/x
  3. Step 3: Cross multiply
    1,852.45x = 2,553.28 × 1,313.38
  4. Step 4: Simplify right side
    1,852.45x = 3,353,426.89
  5. Step 5: Solve for x
    x = 3,353,426.89/1,852.45
  6. Step 6: Final answer
    x = 1,810.27

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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.