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Finding the Fourth Proportional to 1,871.20, 2,804.93 and 1,543.15

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Solution

The fourth proportional to 1,871.20, 2,804.93 and 1,543.15 is: 2,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.20 : 2,804.93 = 1,543.15 : x
  2. Step 2: Convert to fraction form
    1,871.20/2,804.93 = 1,543.15/x
  3. Step 3: Cross multiply
    1,871.20x = 2,804.93 × 1,543.15
  4. Step 4: Simplify right side
    1,871.20x = 4,328,429.31
  5. Step 5: Solve for x
    x = 4,328,429.31/1,871.20
  6. Step 6: Final answer
    x = 2,313.18

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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.