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Finding the Fourth Proportional to 1,663.26, 2,290.64 and 1,485.46

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Solution

The fourth proportional to 1,663.26, 2,290.64 and 1,485.46 is: 2,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.26 : 2,290.64 = 1,485.46 : x
  2. Step 2: Convert to fraction form
    1,663.26/2,290.64 = 1,485.46/x
  3. Step 3: Cross multiply
    1,663.26x = 2,290.64 × 1,485.46
  4. Step 4: Simplify right side
    1,663.26x = 3,402,654.09
  5. Step 5: Solve for x
    x = 3,402,654.09/1,663.26
  6. Step 6: Final answer
    x = 2,045.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.