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Finding the Fourth Proportional to 1,693.94, 2,528.64 and 1,464.30

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Solution

The fourth proportional to 1,693.94, 2,528.64 and 1,464.30 is: 2,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.94 : 2,528.64 = 1,464.30 : x
  2. Step 2: Convert to fraction form
    1,693.94/2,528.64 = 1,464.30/x
  3. Step 3: Cross multiply
    1,693.94x = 2,528.64 × 1,464.30
  4. Step 4: Simplify right side
    1,693.94x = 3,702,687.55
  5. Step 5: Solve for x
    x = 3,702,687.55/1,693.94
  6. Step 6: Final answer
    x = 2,185.85

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Why These Related Problems?

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