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Finding the Fourth Proportional to 1,765.92, 2,437.00 and 969.23

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Solution

The fourth proportional to 1,765.92, 2,437.00 and 969.23 is: 1,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.92 : 2,437.00 = 969.23 : x
  2. Step 2: Convert to fraction form
    1,765.92/2,437.00 = 969.23/x
  3. Step 3: Cross multiply
    1,765.92x = 2,437.00 × 969.23
  4. Step 4: Simplify right side
    1,765.92x = 2,362,017.18
  5. Step 5: Solve for x
    x = 2,362,017.18/1,765.92
  6. Step 6: Final answer
    x = 1,337.56

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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.