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Finding the Fourth Proportional to 1,953.97, 2,929.46 and 842.06

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Solution

The fourth proportional to 1,953.97, 2,929.46 and 842.06 is: 1,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.97 : 2,929.46 = 842.06 : x
  2. Step 2: Convert to fraction form
    1,953.97/2,929.46 = 842.06/x
  3. Step 3: Cross multiply
    1,953.97x = 2,929.46 × 842.06
  4. Step 4: Simplify right side
    1,953.97x = 2,466,784.20
  5. Step 5: Solve for x
    x = 2,466,784.20/1,953.97
  6. Step 6: Final answer
    x = 1,262.45

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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.