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Finding the Fourth Proportional to 2,051.54, 2,829.52 and 1,815.74

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Solution

The fourth proportional to 2,051.54, 2,829.52 and 1,815.74 is: 2,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.54 : 2,829.52 = 1,815.74 : x
  2. Step 2: Convert to fraction form
    2,051.54/2,829.52 = 1,815.74/x
  3. Step 3: Cross multiply
    2,051.54x = 2,829.52 × 1,815.74
  4. Step 4: Simplify right side
    2,051.54x = 5,137,653.96
  5. Step 5: Solve for x
    x = 5,137,653.96/2,051.54
  6. Step 6: Final answer
    x = 2,504.30

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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.