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Finding the Fourth Proportional to 2,804.16, 3,869.76 and 1,562.24

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Solution

The fourth proportional to 2,804.16, 3,869.76 and 1,562.24 is: 2,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.16 : 3,869.76 = 1,562.24 : x
  2. Step 2: Convert to fraction form
    2,804.16/3,869.76 = 1,562.24/x
  3. Step 3: Cross multiply
    2,804.16x = 3,869.76 × 1,562.24
  4. Step 4: Simplify right side
    2,804.16x = 6,045,493.86
  5. Step 5: Solve for x
    x = 6,045,493.86/2,804.16
  6. Step 6: Final answer
    x = 2,155.90

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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.