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Finding the Fourth Proportional to 1,490.45, 2,057.50 and 931.28

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Solution

The fourth proportional to 1,490.45, 2,057.50 and 931.28 is: 1,285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.45 : 2,057.50 = 931.28 : x
  2. Step 2: Convert to fraction form
    1,490.45/2,057.50 = 931.28/x
  3. Step 3: Cross multiply
    1,490.45x = 2,057.50 × 931.28
  4. Step 4: Simplify right side
    1,490.45x = 1,916,111.05
  5. Step 5: Solve for x
    x = 1,916,111.05/1,490.45
  6. Step 6: Final answer
    x = 1,285.59

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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.