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Finding the Fourth Proportional to 1,905.93, 2,858.29 and 735.08

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Solution

The fourth proportional to 1,905.93, 2,858.29 and 735.08 is: 1,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.93 : 2,858.29 = 735.08 : x
  2. Step 2: Convert to fraction form
    1,905.93/2,858.29 = 735.08/x
  3. Step 3: Cross multiply
    1,905.93x = 2,858.29 × 735.08
  4. Step 4: Simplify right side
    1,905.93x = 2,101,055.68
  5. Step 5: Solve for x
    x = 2,101,055.68/1,905.93
  6. Step 6: Final answer
    x = 1,102.38

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1.5x scale

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.