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Finding the Fourth Proportional to 1,970.73, 2,959.74 and 1,606.23

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Solution

The fourth proportional to 1,970.73, 2,959.74 and 1,606.23 is: 2,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.73 : 2,959.74 = 1,606.23 : x
  2. Step 2: Convert to fraction form
    1,970.73/2,959.74 = 1,606.23/x
  3. Step 3: Cross multiply
    1,970.73x = 2,959.74 × 1,606.23
  4. Step 4: Simplify right side
    1,970.73x = 4,754,023.18
  5. Step 5: Solve for x
    x = 4,754,023.18/1,970.73
  6. Step 6: Final answer
    x = 2,412.32

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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.