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Finding the Fourth Proportional to 2,037.80, 2,810.32 and 1,723.74

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Solution

The fourth proportional to 2,037.80, 2,810.32 and 1,723.74 is: 2,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.80 : 2,810.32 = 1,723.74 : x
  2. Step 2: Convert to fraction form
    2,037.80/2,810.32 = 1,723.74/x
  3. Step 3: Cross multiply
    2,037.80x = 2,810.32 × 1,723.74
  4. Step 4: Simplify right side
    2,037.80x = 4,844,261.00
  5. Step 5: Solve for x
    x = 4,844,261.00/2,037.80
  6. Step 6: Final answer
    x = 2,377.20

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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.