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Finding the Fourth Proportional to 2,701.98, 4,051.44 and 1,607.04

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Solution

The fourth proportional to 2,701.98, 4,051.44 and 1,607.04 is: 2,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.98 : 4,051.44 = 1,607.04 : x
  2. Step 2: Convert to fraction form
    2,701.98/4,051.44 = 1,607.04/x
  3. Step 3: Cross multiply
    2,701.98x = 4,051.44 × 1,607.04
  4. Step 4: Simplify right side
    2,701.98x = 6,510,826.14
  5. Step 5: Solve for x
    x = 6,510,826.14/2,701.98
  6. Step 6: Final answer
    x = 2,409.65

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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.