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Finding the Fourth Proportional to 1,771.40, 2,444.58 and 985.43

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Solution

The fourth proportional to 1,771.40, 2,444.58 and 985.43 is: 1,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.40 : 2,444.58 = 985.43 : x
  2. Step 2: Convert to fraction form
    1,771.40/2,444.58 = 985.43/x
  3. Step 3: Cross multiply
    1,771.40x = 2,444.58 × 985.43
  4. Step 4: Simplify right side
    1,771.40x = 2,408,950.25
  5. Step 5: Solve for x
    x = 2,408,950.25/1,771.40
  6. Step 6: Final answer
    x = 1,359.92

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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.