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Finding the Fourth Proportional to 1,602.17, 2,210.98 and 894.07

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Solution

The fourth proportional to 1,602.17, 2,210.98 and 894.07 is: 1,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.17 : 2,210.98 = 894.07 : x
  2. Step 2: Convert to fraction form
    1,602.17/2,210.98 = 894.07/x
  3. Step 3: Cross multiply
    1,602.17x = 2,210.98 × 894.07
  4. Step 4: Simplify right side
    1,602.17x = 1,976,755.36
  5. Step 5: Solve for x
    x = 1,976,755.36/1,602.17
  6. Step 6: Final answer
    x = 1,233.80

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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.