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Finding the Fourth Proportional to 2,804.48, 4,207.22 and 1,160.13

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Solution

The fourth proportional to 2,804.48, 4,207.22 and 1,160.13 is: 1,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.48 : 4,207.22 = 1,160.13 : x
  2. Step 2: Convert to fraction form
    2,804.48/4,207.22 = 1,160.13/x
  3. Step 3: Cross multiply
    2,804.48x = 4,207.22 × 1,160.13
  4. Step 4: Simplify right side
    2,804.48x = 4,880,922.14
  5. Step 5: Solve for x
    x = 4,880,922.14/2,804.48
  6. Step 6: Final answer
    x = 1,740.40

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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.