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Finding the Fourth Proportional to 3,384.90, 4,670.46 and 1,987.65

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Solution

The fourth proportional to 3,384.90, 4,670.46 and 1,987.65 is: 2,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.90 : 4,670.46 = 1,987.65 : x
  2. Step 2: Convert to fraction form
    3,384.90/4,670.46 = 1,987.65/x
  3. Step 3: Cross multiply
    3,384.90x = 4,670.46 × 1,987.65
  4. Step 4: Simplify right side
    3,384.90x = 9,283,239.82
  5. Step 5: Solve for x
    x = 9,283,239.82/3,384.90
  6. Step 6: Final answer
    x = 2,742.54

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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.