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Finding the Fourth Proportional to 1,497.94, 2,232.02 and 1,334.36

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Solution

The fourth proportional to 1,497.94, 2,232.02 and 1,334.36 is: 1,988.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.94 : 2,232.02 = 1,334.36 : x
  2. Step 2: Convert to fraction form
    1,497.94/2,232.02 = 1,334.36/x
  3. Step 3: Cross multiply
    1,497.94x = 2,232.02 × 1,334.36
  4. Step 4: Simplify right side
    1,497.94x = 2,978,327.12
  5. Step 5: Solve for x
    x = 2,978,327.12/1,497.94
  6. Step 6: Final answer
    x = 1,988.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.