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Finding the Fourth Proportional to 1,683.05, 2,534.16 and 1,489.25

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Solution

The fourth proportional to 1,683.05, 2,534.16 and 1,489.25 is: 2,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.05 : 2,534.16 = 1,489.25 : x
  2. Step 2: Convert to fraction form
    1,683.05/2,534.16 = 1,489.25/x
  3. Step 3: Cross multiply
    1,683.05x = 2,534.16 × 1,489.25
  4. Step 4: Simplify right side
    1,683.05x = 3,773,985.11
  5. Step 5: Solve for x
    x = 3,773,985.11/1,683.05
  6. Step 6: Final answer
    x = 2,242.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.