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Finding the Fourth Proportional to 1,656.34, 2,484.42 and 682.42

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Solution

The fourth proportional to 1,656.34, 2,484.42 and 682.42 is: 1,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.34 : 2,484.42 = 682.42 : x
  2. Step 2: Convert to fraction form
    1,656.34/2,484.42 = 682.42/x
  3. Step 3: Cross multiply
    1,656.34x = 2,484.42 × 682.42
  4. Step 4: Simplify right side
    1,656.34x = 1,695,417.90
  5. Step 5: Solve for x
    x = 1,695,417.90/1,656.34
  6. Step 6: Final answer
    x = 1,023.59

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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.