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Finding the Fourth Proportional to 1,655.94, 2,483.57 and 822.15

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Solution

The fourth proportional to 1,655.94, 2,483.57 and 822.15 is: 1,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.94 : 2,483.57 = 822.15 : x
  2. Step 2: Convert to fraction form
    1,655.94/2,483.57 = 822.15/x
  3. Step 3: Cross multiply
    1,655.94x = 2,483.57 × 822.15
  4. Step 4: Simplify right side
    1,655.94x = 2,041,853.65
  5. Step 5: Solve for x
    x = 2,041,853.65/1,655.94
  6. Step 6: Final answer
    x = 1,233.05

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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.