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Finding the Fourth Proportional to 1,490.89, 2,050.13 and 1,294.06

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Solution

The fourth proportional to 1,490.89, 2,050.13 and 1,294.06 is: 1,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.89 : 2,050.13 = 1,294.06 : x
  2. Step 2: Convert to fraction form
    1,490.89/2,050.13 = 1,294.06/x
  3. Step 3: Cross multiply
    1,490.89x = 2,050.13 × 1,294.06
  4. Step 4: Simplify right side
    1,490.89x = 2,652,991.23
  5. Step 5: Solve for x
    x = 2,652,991.23/1,490.89
  6. Step 6: Final answer
    x = 1,779.47

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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.