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Finding the Fourth Proportional to 1,612.08, 2,224.56 and 903.84

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Solution

The fourth proportional to 1,612.08, 2,224.56 and 903.84 is: 1,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.08 : 2,224.56 = 903.84 : x
  2. Step 2: Convert to fraction form
    1,612.08/2,224.56 = 903.84/x
  3. Step 3: Cross multiply
    1,612.08x = 2,224.56 × 903.84
  4. Step 4: Simplify right side
    1,612.08x = 2,010,646.31
  5. Step 5: Solve for x
    x = 2,010,646.31/1,612.08
  6. Step 6: Final answer
    x = 1,247.24

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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.