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Finding the Fourth Proportional to 2,523.65, 3,480 and 1,776.42

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Solution

The fourth proportional to 2,523.65, 3,480 and 1,776.42 is: 2,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.65 : 3,480 = 1,776.42 : x
  2. Step 2: Convert to fraction form
    2,523.65/3,480 = 1,776.42/x
  3. Step 3: Cross multiply
    2,523.65x = 3,480 × 1,776.42
  4. Step 4: Simplify right side
    2,523.65x = 6,181,941.60
  5. Step 5: Solve for x
    x = 6,181,941.60/2,523.65
  6. Step 6: Final answer
    x = 2,449.61

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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.