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Finding the Fourth Proportional to 2,114.40, 3,171.64 and 653.55

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Solution

The fourth proportional to 2,114.40, 3,171.64 and 653.55 is: 980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.40 : 3,171.64 = 653.55 : x
  2. Step 2: Convert to fraction form
    2,114.40/3,171.64 = 653.55/x
  3. Step 3: Cross multiply
    2,114.40x = 3,171.64 × 653.55
  4. Step 4: Simplify right side
    2,114.40x = 2,072,825.32
  5. Step 5: Solve for x
    x = 2,072,825.32/2,114.40
  6. Step 6: Final answer
    x = 980.34

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1.5x scale

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.