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Finding the Fourth Proportional to 2,429.78, 3,354.42 and 1,485.80

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Solution

The fourth proportional to 2,429.78, 3,354.42 and 1,485.80 is: 2,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.78 : 3,354.42 = 1,485.80 : x
  2. Step 2: Convert to fraction form
    2,429.78/3,354.42 = 1,485.80/x
  3. Step 3: Cross multiply
    2,429.78x = 3,354.42 × 1,485.80
  4. Step 4: Simplify right side
    2,429.78x = 4,983,980.46
  5. Step 5: Solve for x
    x = 4,983,980.46/2,429.78
  6. Step 6: Final answer
    x = 2,051.21

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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.