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Finding the Fourth Proportional to 2,665.90, 3,678.78 and 1,486.95

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Solution

The fourth proportional to 2,665.90, 3,678.78 and 1,486.95 is: 2,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.90 : 3,678.78 = 1,486.95 : x
  2. Step 2: Convert to fraction form
    2,665.90/3,678.78 = 1,486.95/x
  3. Step 3: Cross multiply
    2,665.90x = 3,678.78 × 1,486.95
  4. Step 4: Simplify right side
    2,665.90x = 5,470,161.92
  5. Step 5: Solve for x
    x = 5,470,161.92/2,665.90
  6. Step 6: Final answer
    x = 2,051.90

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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.