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Finding the Fourth Proportional to 2,277.87, 3,401.54 and 1,810.50

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Solution

The fourth proportional to 2,277.87, 3,401.54 and 1,810.50 is: 2,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.87 : 3,401.54 = 1,810.50 : x
  2. Step 2: Convert to fraction form
    2,277.87/3,401.54 = 1,810.50/x
  3. Step 3: Cross multiply
    2,277.87x = 3,401.54 × 1,810.50
  4. Step 4: Simplify right side
    2,277.87x = 6,158,479.12
  5. Step 5: Solve for x
    x = 6,158,479.12/2,277.87
  6. Step 6: Final answer
    x = 2,703.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.