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Finding the Fourth Proportional to 2,477.20, 3,714.84 and 1,016.08

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Solution

The fourth proportional to 2,477.20, 3,714.84 and 1,016.08 is: 1,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.20 : 3,714.84 = 1,016.08 : x
  2. Step 2: Convert to fraction form
    2,477.20/3,714.84 = 1,016.08/x
  3. Step 3: Cross multiply
    2,477.20x = 3,714.84 × 1,016.08
  4. Step 4: Simplify right side
    2,477.20x = 3,774,574.63
  5. Step 5: Solve for x
    x = 3,774,574.63/2,477.20
  6. Step 6: Final answer
    x = 1,523.73

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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.