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Finding the Fourth Proportional to 1,693.40, 2,534.16 and 1,464.98

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Solution

The fourth proportional to 1,693.40, 2,534.16 and 1,464.98 is: 2,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.40 : 2,534.16 = 1,464.98 : x
  2. Step 2: Convert to fraction form
    1,693.40/2,534.16 = 1,464.98/x
  3. Step 3: Cross multiply
    1,693.40x = 2,534.16 × 1,464.98
  4. Step 4: Simplify right side
    1,693.40x = 3,712,493.72
  5. Step 5: Solve for x
    x = 3,712,493.72/1,693.40
  6. Step 6: Final answer
    x = 2,192.33

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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.