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Finding the Fourth Proportional to 1,215, 1,818.72 and 1,176.12

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Solution

The fourth proportional to 1,215, 1,818.72 and 1,176.12 is: 1,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215 : 1,818.72 = 1,176.12 : x
  2. Step 2: Convert to fraction form
    1,215/1,818.72 = 1,176.12/x
  3. Step 3: Cross multiply
    1,215x = 1,818.72 × 1,176.12
  4. Step 4: Simplify right side
    1,215x = 2,139,032.97
  5. Step 5: Solve for x
    x = 2,139,032.97/1,215
  6. Step 6: Final answer
    x = 1,760.52

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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.