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Finding the Fourth Proportional to 1,783.41, 2,461.14 and 1,037.46

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Solution

The fourth proportional to 1,783.41, 2,461.14 and 1,037.46 is: 1,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.41 : 2,461.14 = 1,037.46 : x
  2. Step 2: Convert to fraction form
    1,783.41/2,461.14 = 1,037.46/x
  3. Step 3: Cross multiply
    1,783.41x = 2,461.14 × 1,037.46
  4. Step 4: Simplify right side
    1,783.41x = 2,553,334.30
  5. Step 5: Solve for x
    x = 2,553,334.30/1,783.41
  6. Step 6: Final answer
    x = 1,431.71

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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.