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Finding the Fourth Proportional to 1,783.16, 2,460.84 and 997.28

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Solution

The fourth proportional to 1,783.16, 2,460.84 and 997.28 is: 1,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.16 : 2,460.84 = 997.28 : x
  2. Step 2: Convert to fraction form
    1,783.16/2,460.84 = 997.28/x
  3. Step 3: Cross multiply
    1,783.16x = 2,460.84 × 997.28
  4. Step 4: Simplify right side
    1,783.16x = 2,454,146.52
  5. Step 5: Solve for x
    x = 2,454,146.52/1,783.16
  6. Step 6: Final answer
    x = 1,376.29

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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.