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Finding the Fourth Proportional to 1,783.41, 2,461.07 and 997.53

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Solution

The fourth proportional to 1,783.41, 2,461.07 and 997.53 is: 1,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.41 : 2,461.07 = 997.53 : x
  2. Step 2: Convert to fraction form
    1,783.41/2,461.07 = 997.53/x
  3. Step 3: Cross multiply
    1,783.41x = 2,461.07 × 997.53
  4. Step 4: Simplify right side
    1,783.41x = 2,454,986.17
  5. Step 5: Solve for x
    x = 2,454,986.17/1,783.41
  6. Step 6: Final answer
    x = 1,376.57

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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.