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Finding the Fourth Proportional to 2,477.58, 3,714.31 and 1,932.18

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Solution

The fourth proportional to 2,477.58, 3,714.31 and 1,932.18 is: 2,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.58 : 3,714.31 = 1,932.18 : x
  2. Step 2: Convert to fraction form
    2,477.58/3,714.31 = 1,932.18/x
  3. Step 3: Cross multiply
    2,477.58x = 3,714.31 × 1,932.18
  4. Step 4: Simplify right side
    2,477.58x = 7,176,715.50
  5. Step 5: Solve for x
    x = 7,176,715.50/2,477.58
  6. Step 6: Final answer
    x = 2,896.66

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Why These Related Problems?

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