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Finding the Fourth Proportional to 2,669.29, 3,683.68 and 1,490.40

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Solution

The fourth proportional to 2,669.29, 3,683.68 and 1,490.40 is: 2,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.29 : 3,683.68 = 1,490.40 : x
  2. Step 2: Convert to fraction form
    2,669.29/3,683.68 = 1,490.40/x
  3. Step 3: Cross multiply
    2,669.29x = 3,683.68 × 1,490.40
  4. Step 4: Simplify right side
    2,669.29x = 5,490,152.95
  5. Step 5: Solve for x
    x = 5,490,152.95/2,669.29
  6. Step 6: Final answer
    x = 2,056.79

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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.