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Finding the Fourth Proportional to 1,782.92, 2,460.25 and 1,223.87

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Solution

The fourth proportional to 1,782.92, 2,460.25 and 1,223.87 is: 1,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.92 : 2,460.25 = 1,223.87 : x
  2. Step 2: Convert to fraction form
    1,782.92/2,460.25 = 1,223.87/x
  3. Step 3: Cross multiply
    1,782.92x = 2,460.25 × 1,223.87
  4. Step 4: Simplify right side
    1,782.92x = 3,011,026.17
  5. Step 5: Solve for x
    x = 3,011,026.17/1,782.92
  6. Step 6: Final answer
    x = 1,688.82

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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.