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Finding the Fourth Proportional to 1,622.92, 2,239.58 and 924.26

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Solution

The fourth proportional to 1,622.92, 2,239.58 and 924.26 is: 1,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.92 : 2,239.58 = 924.26 : x
  2. Step 2: Convert to fraction form
    1,622.92/2,239.58 = 924.26/x
  3. Step 3: Cross multiply
    1,622.92x = 2,239.58 × 924.26
  4. Step 4: Simplify right side
    1,622.92x = 2,069,954.21
  5. Step 5: Solve for x
    x = 2,069,954.21/1,622.92
  6. Step 6: Final answer
    x = 1,275.45

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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.