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Finding the Fourth Proportional to 1,666.17, 2,298.90 and 1,076.61

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Solution

The fourth proportional to 1,666.17, 2,298.90 and 1,076.61 is: 1,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.17 : 2,298.90 = 1,076.61 : x
  2. Step 2: Convert to fraction form
    1,666.17/2,298.90 = 1,076.61/x
  3. Step 3: Cross multiply
    1,666.17x = 2,298.90 × 1,076.61
  4. Step 4: Simplify right side
    1,666.17x = 2,475,018.73
  5. Step 5: Solve for x
    x = 2,475,018.73/1,666.17
  6. Step 6: Final answer
    x = 1,485.45

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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.