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Finding the Fourth Proportional to 2,477.44, 3,418.87 and 1,482.86

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Solution

The fourth proportional to 2,477.44, 3,418.87 and 1,482.86 is: 2,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.44 : 3,418.87 = 1,482.86 : x
  2. Step 2: Convert to fraction form
    2,477.44/3,418.87 = 1,482.86/x
  3. Step 3: Cross multiply
    2,477.44x = 3,418.87 × 1,482.86
  4. Step 4: Simplify right side
    2,477.44x = 5,069,710.41
  5. Step 5: Solve for x
    x = 5,069,710.41/2,477.44
  6. Step 6: Final answer
    x = 2,046.35

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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.