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Finding the Fourth Proportional to 2,129.09, 2,934.97 and 1,497.56

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Solution

The fourth proportional to 2,129.09, 2,934.97 and 1,497.56 is: 2,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.09 : 2,934.97 = 1,497.56 : x
  2. Step 2: Convert to fraction form
    2,129.09/2,934.97 = 1,497.56/x
  3. Step 3: Cross multiply
    2,129.09x = 2,934.97 × 1,497.56
  4. Step 4: Simplify right side
    2,129.09x = 4,395,275.25
  5. Step 5: Solve for x
    x = 4,395,275.25/2,129.09
  6. Step 6: Final answer
    x = 2,064.40

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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.