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Finding the Fourth Proportional to 1,656.90, 2,285 and 1,325.34

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Solution

The fourth proportional to 1,656.90, 2,285 and 1,325.34 is: 1,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.90 : 2,285 = 1,325.34 : x
  2. Step 2: Convert to fraction form
    1,656.90/2,285 = 1,325.34/x
  3. Step 3: Cross multiply
    1,656.90x = 2,285 × 1,325.34
  4. Step 4: Simplify right side
    1,656.90x = 3,028,401.90
  5. Step 5: Solve for x
    x = 3,028,401.90/1,656.90
  6. Step 6: Final answer
    x = 1,827.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.