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Finding the Fourth Proportional to 2,353.98, 3,532.11 and 1,665.07

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Solution

The fourth proportional to 2,353.98, 3,532.11 and 1,665.07 is: 2,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.98 : 3,532.11 = 1,665.07 : x
  2. Step 2: Convert to fraction form
    2,353.98/3,532.11 = 1,665.07/x
  3. Step 3: Cross multiply
    2,353.98x = 3,532.11 × 1,665.07
  4. Step 4: Simplify right side
    2,353.98x = 5,881,210.40
  5. Step 5: Solve for x
    x = 5,881,210.40/2,353.98
  6. Step 6: Final answer
    x = 2,498.41

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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.