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Finding the Fourth Proportional to 1,602.90, 2,392.02 and 1,418.22

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Solution

The fourth proportional to 1,602.90, 2,392.02 and 1,418.22 is: 2,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.90 : 2,392.02 = 1,418.22 : x
  2. Step 2: Convert to fraction form
    1,602.90/2,392.02 = 1,418.22/x
  3. Step 3: Cross multiply
    1,602.90x = 2,392.02 × 1,418.22
  4. Step 4: Simplify right side
    1,602.90x = 3,392,410.60
  5. Step 5: Solve for x
    x = 3,392,410.60/1,602.90
  6. Step 6: Final answer
    x = 2,116.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.