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Finding the Fourth Proportional to 2,803.50, 3,870.05 and 1,756.17

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Solution

The fourth proportional to 2,803.50, 3,870.05 and 1,756.17 is: 2,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.50 : 3,870.05 = 1,756.17 : x
  2. Step 2: Convert to fraction form
    2,803.50/3,870.05 = 1,756.17/x
  3. Step 3: Cross multiply
    2,803.50x = 3,870.05 × 1,756.17
  4. Step 4: Simplify right side
    2,803.50x = 6,796,456.93
  5. Step 5: Solve for x
    x = 6,796,456.93/2,803.50
  6. Step 6: Final answer
    x = 2,424.28

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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.