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Finding the Fourth Proportional to 2,665.59, 3,678.48 and 1,486.68

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Solution

The fourth proportional to 2,665.59, 3,678.48 and 1,486.68 is: 2,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.59 : 3,678.48 = 1,486.68 : x
  2. Step 2: Convert to fraction form
    2,665.59/3,678.48 = 1,486.68/x
  3. Step 3: Cross multiply
    2,665.59x = 3,678.48 × 1,486.68
  4. Step 4: Simplify right side
    2,665.59x = 5,468,722.65
  5. Step 5: Solve for x
    x = 5,468,722.65/2,665.59
  6. Step 6: Final answer
    x = 2,051.60

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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.