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Finding the Fourth Proportional to 1,571.70, 2,168.40 and 973.56

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Solution

The fourth proportional to 1,571.70, 2,168.40 and 973.56 is: 1,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.70 : 2,168.40 = 973.56 : x
  2. Step 2: Convert to fraction form
    1,571.70/2,168.40 = 973.56/x
  3. Step 3: Cross multiply
    1,571.70x = 2,168.40 × 973.56
  4. Step 4: Simplify right side
    1,571.70x = 2,111,067.50
  5. Step 5: Solve for x
    x = 2,111,067.50/1,571.70
  6. Step 6: Final answer
    x = 1,343.17

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1.5x scale

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.