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Finding the Fourth Proportional to 1,665.37, 2,298.14 and 983.99

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Solution

The fourth proportional to 1,665.37, 2,298.14 and 983.99 is: 1,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.37 : 2,298.14 = 983.99 : x
  2. Step 2: Convert to fraction form
    1,665.37/2,298.14 = 983.99/x
  3. Step 3: Cross multiply
    1,665.37x = 2,298.14 × 983.99
  4. Step 4: Simplify right side
    1,665.37x = 2,261,341.86
  5. Step 5: Solve for x
    x = 2,261,341.86/1,665.37
  6. Step 6: Final answer
    x = 1,357.87

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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.