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Finding the Fourth Proportional to 1,693.16, 2,529.49 and 1,683.56

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Solution

The fourth proportional to 1,693.16, 2,529.49 and 1,683.56 is: 2,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.16 : 2,529.49 = 1,683.56 : x
  2. Step 2: Convert to fraction form
    1,693.16/2,529.49 = 1,683.56/x
  3. Step 3: Cross multiply
    1,693.16x = 2,529.49 × 1,683.56
  4. Step 4: Simplify right side
    1,693.16x = 4,258,548.18
  5. Step 5: Solve for x
    x = 4,258,548.18/1,693.16
  6. Step 6: Final answer
    x = 2,515.15

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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.