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Finding the Fourth Proportional to 1,656.82, 2,485.06 and 561.16

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Solution

The fourth proportional to 1,656.82, 2,485.06 and 561.16 is: 841.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.82 : 2,485.06 = 561.16 : x
  2. Step 2: Convert to fraction form
    1,656.82/2,485.06 = 561.16/x
  3. Step 3: Cross multiply
    1,656.82x = 2,485.06 × 561.16
  4. Step 4: Simplify right side
    1,656.82x = 1,394,516.27
  5. Step 5: Solve for x
    x = 1,394,516.27/1,656.82
  6. Step 6: Final answer
    x = 841.68

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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.