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Finding the Fourth Proportional to 1,894.44, 2,828.37 and 1,602.92

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Solution

The fourth proportional to 1,894.44, 2,828.37 and 1,602.92 is: 2,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.44 : 2,828.37 = 1,602.92 : x
  2. Step 2: Convert to fraction form
    1,894.44/2,828.37 = 1,602.92/x
  3. Step 3: Cross multiply
    1,894.44x = 2,828.37 × 1,602.92
  4. Step 4: Simplify right side
    1,894.44x = 4,533,650.84
  5. Step 5: Solve for x
    x = 4,533,650.84/1,894.44
  6. Step 6: Final answer
    x = 2,393.14

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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.