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Finding the Fourth Proportional to 2,307.70, 3,456.03 and 1,330.84

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Solution

The fourth proportional to 2,307.70, 3,456.03 and 1,330.84 is: 1,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.70 : 3,456.03 = 1,330.84 : x
  2. Step 2: Convert to fraction form
    2,307.70/3,456.03 = 1,330.84/x
  3. Step 3: Cross multiply
    2,307.70x = 3,456.03 × 1,330.84
  4. Step 4: Simplify right side
    2,307.70x = 4,599,432.28
  5. Step 5: Solve for x
    x = 4,599,432.28/2,307.70
  6. Step 6: Final answer
    x = 1,993.08

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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.