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Finding the Fourth Proportional to 2,810.16, 4,218.03 and 2,077.56

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Solution

The fourth proportional to 2,810.16, 4,218.03 and 2,077.56 is: 3,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.16 : 4,218.03 = 2,077.56 : x
  2. Step 2: Convert to fraction form
    2,810.16/4,218.03 = 2,077.56/x
  3. Step 3: Cross multiply
    2,810.16x = 4,218.03 × 2,077.56
  4. Step 4: Simplify right side
    2,810.16x = 8,763,210.41
  5. Step 5: Solve for x
    x = 8,763,210.41/2,810.16
  6. Step 6: Final answer
    x = 3,118.40

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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.