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Finding the Fourth Proportional to 2,470.40, 3,714.12 and 1,986.84

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Solution

The fourth proportional to 2,470.40, 3,714.12 and 1,986.84 is: 2,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.40 : 3,714.12 = 1,986.84 : x
  2. Step 2: Convert to fraction form
    2,470.40/3,714.12 = 1,986.84/x
  3. Step 3: Cross multiply
    2,470.40x = 3,714.12 × 1,986.84
  4. Step 4: Simplify right side
    2,470.40x = 7,379,362.18
  5. Step 5: Solve for x
    x = 7,379,362.18/2,470.40
  6. Step 6: Final answer
    x = 2,987.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.