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Finding the Fourth Proportional to 1,693.66, 2,528.09 and 1,564.48

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Solution

The fourth proportional to 1,693.66, 2,528.09 and 1,564.48 is: 2,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.66 : 2,528.09 = 1,564.48 : x
  2. Step 2: Convert to fraction form
    1,693.66/2,528.09 = 1,564.48/x
  3. Step 3: Cross multiply
    1,693.66x = 2,528.09 × 1,564.48
  4. Step 4: Simplify right side
    1,693.66x = 3,955,156.25
  5. Step 5: Solve for x
    x = 3,955,156.25/1,693.66
  6. Step 6: Final answer
    x = 2,335.27

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