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Finding the Fourth Proportional to 1,623.86, 2,435.79 and 930.05

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Solution

The fourth proportional to 1,623.86, 2,435.79 and 930.05 is: 1,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.86 : 2,435.79 = 930.05 : x
  2. Step 2: Convert to fraction form
    1,623.86/2,435.79 = 930.05/x
  3. Step 3: Cross multiply
    1,623.86x = 2,435.79 × 930.05
  4. Step 4: Simplify right side
    1,623.86x = 2,265,405.62
  5. Step 5: Solve for x
    x = 2,265,405.62/1,623.86
  6. Step 6: Final answer
    x = 1,395.07

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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.