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Finding the Fourth Proportional to 1,663.83, 2,495.75 and 1,562.34

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Solution

The fourth proportional to 1,663.83, 2,495.75 and 1,562.34 is: 2,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.83 : 2,495.75 = 1,562.34 : x
  2. Step 2: Convert to fraction form
    1,663.83/2,495.75 = 1,562.34/x
  3. Step 3: Cross multiply
    1,663.83x = 2,495.75 × 1,562.34
  4. Step 4: Simplify right side
    1,663.83x = 3,899,210.06
  5. Step 5: Solve for x
    x = 3,899,210.06/1,663.83
  6. Step 6: Final answer
    x = 2,343.51

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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.