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Finding the Fourth Proportional to 1,966.57, 2,955.42 and 1,485.43

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Solution

The fourth proportional to 1,966.57, 2,955.42 and 1,485.43 is: 2,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.57 : 2,955.42 = 1,485.43 : x
  2. Step 2: Convert to fraction form
    1,966.57/2,955.42 = 1,485.43/x
  3. Step 3: Cross multiply
    1,966.57x = 2,955.42 × 1,485.43
  4. Step 4: Simplify right side
    1,966.57x = 4,390,062.14
  5. Step 5: Solve for x
    x = 4,390,062.14/1,966.57
  6. Step 6: Final answer
    x = 2,232.35

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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.