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Finding the Fourth Proportional to 1,602.58, 2,211.42 and 894.37

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Solution

The fourth proportional to 1,602.58, 2,211.42 and 894.37 is: 1,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.58 : 2,211.42 = 894.37 : x
  2. Step 2: Convert to fraction form
    1,602.58/2,211.42 = 894.37/x
  3. Step 3: Cross multiply
    1,602.58x = 2,211.42 × 894.37
  4. Step 4: Simplify right side
    1,602.58x = 1,977,827.71
  5. Step 5: Solve for x
    x = 1,977,827.71/1,602.58
  6. Step 6: Final answer
    x = 1,234.15

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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.