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Finding the Fourth Proportional to 1,574.38, 2,172.02 and 911.12

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Solution

The fourth proportional to 1,574.38, 2,172.02 and 911.12 is: 1,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.38 : 2,172.02 = 911.12 : x
  2. Step 2: Convert to fraction form
    1,574.38/2,172.02 = 911.12/x
  3. Step 3: Cross multiply
    1,574.38x = 2,172.02 × 911.12
  4. Step 4: Simplify right side
    1,574.38x = 1,978,970.86
  5. Step 5: Solve for x
    x = 1,978,970.86/1,574.38
  6. Step 6: Final answer
    x = 1,256.98

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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.