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Finding the Fourth Proportional to 1,656.89, 2,485.35 and 561.27

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Solution

The fourth proportional to 1,656.89, 2,485.35 and 561.27 is: 841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.89 : 2,485.35 = 561.27 : x
  2. Step 2: Convert to fraction form
    1,656.89/2,485.35 = 561.27/x
  3. Step 3: Cross multiply
    1,656.89x = 2,485.35 × 561.27
  4. Step 4: Simplify right side
    1,656.89x = 1,394,952.39
  5. Step 5: Solve for x
    x = 1,394,952.39/1,656.89
  6. Step 6: Final answer
    x = 841.91

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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.