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Finding the Fourth Proportional to 1,665.76, 2,298.84 and 1,076.80

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Solution

The fourth proportional to 1,665.76, 2,298.84 and 1,076.80 is: 1,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.76 : 2,298.84 = 1,076.80 : x
  2. Step 2: Convert to fraction form
    1,665.76/2,298.84 = 1,076.80/x
  3. Step 3: Cross multiply
    1,665.76x = 2,298.84 × 1,076.80
  4. Step 4: Simplify right side
    1,665.76x = 2,475,390.91
  5. Step 5: Solve for x
    x = 2,475,390.91/1,665.76
  6. Step 6: Final answer
    x = 1,486.04

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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.