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Finding the Fourth Proportional to 2,665.47, 3,678.40 and 1,486.41

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Solution

The fourth proportional to 2,665.47, 3,678.40 and 1,486.41 is: 2,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.47 : 3,678.40 = 1,486.41 : x
  2. Step 2: Convert to fraction form
    2,665.47/3,678.40 = 1,486.41/x
  3. Step 3: Cross multiply
    2,665.47x = 3,678.40 × 1,486.41
  4. Step 4: Simplify right side
    2,665.47x = 5,467,603.11
  5. Step 5: Solve for x
    x = 5,467,603.11/2,665.47
  6. Step 6: Final answer
    x = 2,051.27

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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.