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Finding the Fourth Proportional to 2,896.18, 4,341.84 and 2,347

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Solution

The fourth proportional to 2,896.18, 4,341.84 and 2,347 is: 3,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.18 : 4,341.84 = 2,347 : x
  2. Step 2: Convert to fraction form
    2,896.18/4,341.84 = 2,347/x
  3. Step 3: Cross multiply
    2,896.18x = 4,341.84 × 2,347
  4. Step 4: Simplify right side
    2,896.18x = 10,190,298.48
  5. Step 5: Solve for x
    x = 10,190,298.48/2,896.18
  6. Step 6: Final answer
    x = 3,518.53

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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.