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Finding the Fourth Proportional to 1,504.66, 2,076.21 and 1,006.51

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Solution

The fourth proportional to 1,504.66, 2,076.21 and 1,006.51 is: 1,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.66 : 2,076.21 = 1,006.51 : x
  2. Step 2: Convert to fraction form
    1,504.66/2,076.21 = 1,006.51/x
  3. Step 3: Cross multiply
    1,504.66x = 2,076.21 × 1,006.51
  4. Step 4: Simplify right side
    1,504.66x = 2,089,726.13
  5. Step 5: Solve for x
    x = 2,089,726.13/1,504.66
  6. Step 6: Final answer
    x = 1,388.84

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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.