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Finding the Fourth Proportional to 2,126.59, 2,932.20 and 1,497.22

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Solution

The fourth proportional to 2,126.59, 2,932.20 and 1,497.22 is: 2,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.59 : 2,932.20 = 1,497.22 : x
  2. Step 2: Convert to fraction form
    2,126.59/2,932.20 = 1,497.22/x
  3. Step 3: Cross multiply
    2,126.59x = 2,932.20 × 1,497.22
  4. Step 4: Simplify right side
    2,126.59x = 4,390,141.15
  5. Step 5: Solve for x
    x = 4,390,141.15/2,126.59
  6. Step 6: Final answer
    x = 2,064.41

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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.