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Finding the Fourth Proportional to 1,492.37, 2,058.70 and 894.39

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Solution

The fourth proportional to 1,492.37, 2,058.70 and 894.39 is: 1,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.37 : 2,058.70 = 894.39 : x
  2. Step 2: Convert to fraction form
    1,492.37/2,058.70 = 894.39/x
  3. Step 3: Cross multiply
    1,492.37x = 2,058.70 × 894.39
  4. Step 4: Simplify right side
    1,492.37x = 1,841,280.69
  5. Step 5: Solve for x
    x = 1,841,280.69/1,492.37
  6. Step 6: Final answer
    x = 1,233.79

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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.