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Finding the Fourth Proportional to 2,293.93, 3,442.31 and 907.03

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Solution

The fourth proportional to 2,293.93, 3,442.31 and 907.03 is: 1,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.93 : 3,442.31 = 907.03 : x
  2. Step 2: Convert to fraction form
    2,293.93/3,442.31 = 907.03/x
  3. Step 3: Cross multiply
    2,293.93x = 3,442.31 × 907.03
  4. Step 4: Simplify right side
    2,293.93x = 3,122,278.44
  5. Step 5: Solve for x
    x = 3,122,278.44/2,293.93
  6. Step 6: Final answer
    x = 1,361.10

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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.