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Finding the Fourth Proportional to 2,987.54, 4,481.16 and 907.54

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Solution

The fourth proportional to 2,987.54, 4,481.16 and 907.54 is: 1,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.54 : 4,481.16 = 907.54 : x
  2. Step 2: Convert to fraction form
    2,987.54/4,481.16 = 907.54/x
  3. Step 3: Cross multiply
    2,987.54x = 4,481.16 × 907.54
  4. Step 4: Simplify right side
    2,987.54x = 4,066,831.95
  5. Step 5: Solve for x
    x = 4,066,831.95/2,987.54
  6. Step 6: Final answer
    x = 1,361.26

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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.