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Finding the Fourth Proportional to 1,765.76, 2,436.63 and 968.96

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Solution

The fourth proportional to 1,765.76, 2,436.63 and 968.96 is: 1,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.76 : 2,436.63 = 968.96 : x
  2. Step 2: Convert to fraction form
    1,765.76/2,436.63 = 968.96/x
  3. Step 3: Cross multiply
    1,765.76x = 2,436.63 × 968.96
  4. Step 4: Simplify right side
    1,765.76x = 2,360,997.00
  5. Step 5: Solve for x
    x = 2,360,997.00/1,765.76
  6. Step 6: Final answer
    x = 1,337.10

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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.