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Finding the Fourth Proportional to 1,602.24, 2,210.80 and 894.16

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Solution

The fourth proportional to 1,602.24, 2,210.80 and 894.16 is: 1,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.24 : 2,210.80 = 894.16 : x
  2. Step 2: Convert to fraction form
    1,602.24/2,210.80 = 894.16/x
  3. Step 3: Cross multiply
    1,602.24x = 2,210.80 × 894.16
  4. Step 4: Simplify right side
    1,602.24x = 1,976,808.93
  5. Step 5: Solve for x
    x = 1,976,808.93/1,602.24
  6. Step 6: Final answer
    x = 1,233.78

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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.