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Finding the Fourth Proportional to 1,444.77, 2,170.72 and 925.00

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Solution

The fourth proportional to 1,444.77, 2,170.72 and 925.00 is: 1,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.77 : 2,170.72 = 925.00 : x
  2. Step 2: Convert to fraction form
    1,444.77/2,170.72 = 925.00/x
  3. Step 3: Cross multiply
    1,444.77x = 2,170.72 × 925.00
  4. Step 4: Simplify right side
    1,444.77x = 2,007,902.83
  5. Step 5: Solve for x
    x = 2,007,902.83/1,444.77
  6. Step 6: Final answer
    x = 1,389.78

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