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Finding the Fourth Proportional to 1,858.63, 2,783.69 and 934.45

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Solution

The fourth proportional to 1,858.63, 2,783.69 and 934.45 is: 1,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.63 : 2,783.69 = 934.45 : x
  2. Step 2: Convert to fraction form
    1,858.63/2,783.69 = 934.45/x
  3. Step 3: Cross multiply
    1,858.63x = 2,783.69 × 934.45
  4. Step 4: Simplify right side
    1,858.63x = 2,601,207.49
  5. Step 5: Solve for x
    x = 2,601,207.49/1,858.63
  6. Step 6: Final answer
    x = 1,399.53

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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.