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Finding the Fourth Proportional to 1,602.09, 2,397.60 and 1,016.82

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Solution

The fourth proportional to 1,602.09, 2,397.60 and 1,016.82 is: 1,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.09 : 2,397.60 = 1,016.82 : x
  2. Step 2: Convert to fraction form
    1,602.09/2,397.60 = 1,016.82/x
  3. Step 3: Cross multiply
    1,602.09x = 2,397.60 × 1,016.82
  4. Step 4: Simplify right side
    1,602.09x = 2,437,927.63
  5. Step 5: Solve for x
    x = 2,437,927.63/1,602.09
  6. Step 6: Final answer
    x = 1,521.72

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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.