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Finding the Fourth Proportional to 2,804.98, 4,205.80 and 1,160.63

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Solution

The fourth proportional to 2,804.98, 4,205.80 and 1,160.63 is: 1,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.98 : 4,205.80 = 1,160.63 : x
  2. Step 2: Convert to fraction form
    2,804.98/4,205.80 = 1,160.63/x
  3. Step 3: Cross multiply
    2,804.98x = 4,205.80 × 1,160.63
  4. Step 4: Simplify right side
    2,804.98x = 4,881,381.73
  5. Step 5: Solve for x
    x = 4,881,381.73/2,804.98
  6. Step 6: Final answer
    x = 1,740.25

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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.