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Finding the Fourth Proportional to 1,783.63, 2,461.53 and 997.68

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Solution

The fourth proportional to 1,783.63, 2,461.53 and 997.68 is: 1,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.63 : 2,461.53 = 997.68 : x
  2. Step 2: Convert to fraction form
    1,783.63/2,461.53 = 997.68/x
  3. Step 3: Cross multiply
    1,783.63x = 2,461.53 × 997.68
  4. Step 4: Simplify right side
    1,783.63x = 2,455,825.40
  5. Step 5: Solve for x
    x = 2,455,825.40/1,783.63
  6. Step 6: Final answer
    x = 1,376.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.