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Finding the Fourth Proportional to 1,609.07, 2,220.53 and 945.93

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Solution

The fourth proportional to 1,609.07, 2,220.53 and 945.93 is: 1,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.07 : 2,220.53 = 945.93 : x
  2. Step 2: Convert to fraction form
    1,609.07/2,220.53 = 945.93/x
  3. Step 3: Cross multiply
    1,609.07x = 2,220.53 × 945.93
  4. Step 4: Simplify right side
    1,609.07x = 2,100,465.94
  5. Step 5: Solve for x
    x = 2,100,465.94/1,609.07
  6. Step 6: Final answer
    x = 1,305.39

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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.