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Finding the Fourth Proportional to 2,158.75, 2,975.43 and 1,784.53

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Solution

The fourth proportional to 2,158.75, 2,975.43 and 1,784.53 is: 2,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.75 : 2,975.43 = 1,784.53 : x
  2. Step 2: Convert to fraction form
    2,158.75/2,975.43 = 1,784.53/x
  3. Step 3: Cross multiply
    2,158.75x = 2,975.43 × 1,784.53
  4. Step 4: Simplify right side
    2,158.75x = 5,309,744.10
  5. Step 5: Solve for x
    x = 5,309,744.10/2,158.75
  6. Step 6: Final answer
    x = 2,459.64

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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.