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Finding the Fourth Proportional to 1,493.59, 2,060.49 and 969.52

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Solution

The fourth proportional to 1,493.59, 2,060.49 and 969.52 is: 1,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.59 : 2,060.49 = 969.52 : x
  2. Step 2: Convert to fraction form
    1,493.59/2,060.49 = 969.52/x
  3. Step 3: Cross multiply
    1,493.59x = 2,060.49 × 969.52
  4. Step 4: Simplify right side
    1,493.59x = 1,997,686.26
  5. Step 5: Solve for x
    x = 1,997,686.26/1,493.59
  6. Step 6: Final answer
    x = 1,337.51

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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.