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Finding the Fourth Proportional to 1,920.93, 2,651.09 and 1,135.05

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Solution

The fourth proportional to 1,920.93, 2,651.09 and 1,135.05 is: 1,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.93 : 2,651.09 = 1,135.05 : x
  2. Step 2: Convert to fraction form
    1,920.93/2,651.09 = 1,135.05/x
  3. Step 3: Cross multiply
    1,920.93x = 2,651.09 × 1,135.05
  4. Step 4: Simplify right side
    1,920.93x = 3,009,114.03
  5. Step 5: Solve for x
    x = 3,009,114.03/1,920.93
  6. Step 6: Final answer
    x = 1,566.49

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1.5x scale

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.