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Finding the Fourth Proportional to 2,885.76, 4,329.16 and 1,346.76

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Solution

The fourth proportional to 2,885.76, 4,329.16 and 1,346.76 is: 2,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.76 : 4,329.16 = 1,346.76 : x
  2. Step 2: Convert to fraction form
    2,885.76/4,329.16 = 1,346.76/x
  3. Step 3: Cross multiply
    2,885.76x = 4,329.16 × 1,346.76
  4. Step 4: Simplify right side
    2,885.76x = 5,830,339.52
  5. Step 5: Solve for x
    x = 5,830,339.52/2,885.76
  6. Step 6: Final answer
    x = 2,020.38

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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.