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Finding the Fourth Proportional to 2,084.70, 3,125.13 and 929.82

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Solution

The fourth proportional to 2,084.70, 3,125.13 and 929.82 is: 1,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.70 : 3,125.13 = 929.82 : x
  2. Step 2: Convert to fraction form
    2,084.70/3,125.13 = 929.82/x
  3. Step 3: Cross multiply
    2,084.70x = 3,125.13 × 929.82
  4. Step 4: Simplify right side
    2,084.70x = 2,905,808.38
  5. Step 5: Solve for x
    x = 2,905,808.38/2,084.70
  6. Step 6: Final answer
    x = 1,393.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.