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Finding the Fourth Proportional to 1,444.34, 1,993.47 and 946.10

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Solution

The fourth proportional to 1,444.34, 1,993.47 and 946.10 is: 1,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.34 : 1,993.47 = 946.10 : x
  2. Step 2: Convert to fraction form
    1,444.34/1,993.47 = 946.10/x
  3. Step 3: Cross multiply
    1,444.34x = 1,993.47 × 946.10
  4. Step 4: Simplify right side
    1,444.34x = 1,886,021.97
  5. Step 5: Solve for x
    x = 1,886,021.97/1,444.34
  6. Step 6: Final answer
    x = 1,305.80

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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.