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Finding the Fourth Proportional to 1,663.91, 2,292.30 and 1,368.66

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Solution

The fourth proportional to 1,663.91, 2,292.30 and 1,368.66 is: 1,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.91 : 2,292.30 = 1,368.66 : x
  2. Step 2: Convert to fraction form
    1,663.91/2,292.30 = 1,368.66/x
  3. Step 3: Cross multiply
    1,663.91x = 2,292.30 × 1,368.66
  4. Step 4: Simplify right side
    1,663.91x = 3,137,379.32
  5. Step 5: Solve for x
    x = 3,137,379.32/1,663.91
  6. Step 6: Final answer
    x = 1,885.55

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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.