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Finding the Fourth Proportional to 2,969.18, 4,453.76 and 1,215

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Solution

The fourth proportional to 2,969.18, 4,453.76 and 1,215 is: 1,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.18 : 4,453.76 = 1,215 : x
  2. Step 2: Convert to fraction form
    2,969.18/4,453.76 = 1,215/x
  3. Step 3: Cross multiply
    2,969.18x = 4,453.76 × 1,215
  4. Step 4: Simplify right side
    2,969.18x = 5,411,312.33
  5. Step 5: Solve for x
    x = 5,411,312.33/2,969.18
  6. Step 6: Final answer
    x = 1,822.50

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Why These Related Problems?

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