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Finding the Fourth Proportional to 1,783.29, 2,461.10 and 997.50

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Solution

The fourth proportional to 1,783.29, 2,461.10 and 997.50 is: 1,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.29 : 2,461.10 = 997.50 : x
  2. Step 2: Convert to fraction form
    1,783.29/2,461.10 = 997.50/x
  3. Step 3: Cross multiply
    1,783.29x = 2,461.10 × 997.50
  4. Step 4: Simplify right side
    1,783.29x = 2,454,942.26
  5. Step 5: Solve for x
    x = 2,454,942.26/1,783.29
  6. Step 6: Final answer
    x = 1,376.64

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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.