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Finding the Fourth Proportional to 1,608.24, 2,219.07 and 970.20

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Solution

The fourth proportional to 1,608.24, 2,219.07 and 970.20 is: 1,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.24 : 2,219.07 = 970.20 : x
  2. Step 2: Convert to fraction form
    1,608.24/2,219.07 = 970.20/x
  3. Step 3: Cross multiply
    1,608.24x = 2,219.07 × 970.20
  4. Step 4: Simplify right side
    1,608.24x = 2,152,941.71
  5. Step 5: Solve for x
    x = 2,152,941.71/1,608.24
  6. Step 6: Final answer
    x = 1,338.69

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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.