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Finding the Fourth Proportional to 1,601.33, 2,402.12 and 561.30

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Solution

The fourth proportional to 1,601.33, 2,402.12 and 561.30 is: 841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.33 : 2,402.12 = 561.30 : x
  2. Step 2: Convert to fraction form
    1,601.33/2,402.12 = 561.30/x
  3. Step 3: Cross multiply
    1,601.33x = 2,402.12 × 561.30
  4. Step 4: Simplify right side
    1,601.33x = 1,348,307.15
  5. Step 5: Solve for x
    x = 1,348,307.15/1,601.33
  6. Step 6: Final answer
    x = 841.99

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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.