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Finding the Fourth Proportional to 1,494.90, 2,062.53 and 1,022.40

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Solution

The fourth proportional to 1,494.90, 2,062.53 and 1,022.40 is: 1,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.90 : 2,062.53 = 1,022.40 : x
  2. Step 2: Convert to fraction form
    1,494.90/2,062.53 = 1,022.40/x
  3. Step 3: Cross multiply
    1,494.90x = 2,062.53 × 1,022.40
  4. Step 4: Simplify right side
    1,494.90x = 2,108,730.67
  5. Step 5: Solve for x
    x = 2,108,730.67/1,494.90
  6. Step 6: Final answer
    x = 1,410.62

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Why These Related Problems?

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