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Finding the Fourth Proportional to 1,600.42, 2,400.97 and 907.42

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Solution

The fourth proportional to 1,600.42, 2,400.97 and 907.42 is: 1,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.42 : 2,400.97 = 907.42 : x
  2. Step 2: Convert to fraction form
    1,600.42/2,400.97 = 907.42/x
  3. Step 3: Cross multiply
    1,600.42x = 2,400.97 × 907.42
  4. Step 4: Simplify right side
    1,600.42x = 2,178,688.20
  5. Step 5: Solve for x
    x = 2,178,688.20/1,600.42
  6. Step 6: Final answer
    x = 1,361.32

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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.