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Finding the Fourth Proportional to 1,901.39, 2,852.06 and 669.65

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Solution

The fourth proportional to 1,901.39, 2,852.06 and 669.65 is: 1,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.39 : 2,852.06 = 669.65 : x
  2. Step 2: Convert to fraction form
    1,901.39/2,852.06 = 669.65/x
  3. Step 3: Cross multiply
    1,901.39x = 2,852.06 × 669.65
  4. Step 4: Simplify right side
    1,901.39x = 1,909,864.37
  5. Step 5: Solve for x
    x = 1,909,864.37/1,901.39
  6. Step 6: Final answer
    x = 1,004.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.