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Finding the Fourth Proportional to 1,215, 1,814.04 and 1,032.48

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Solution

The fourth proportional to 1,215, 1,814.04 and 1,032.48 is: 1,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215 : 1,814.04 = 1,032.48 : x
  2. Step 2: Convert to fraction form
    1,215/1,814.04 = 1,032.48/x
  3. Step 3: Cross multiply
    1,215x = 1,814.04 × 1,032.48
  4. Step 4: Simplify right side
    1,215x = 1,872,960.02
  5. Step 5: Solve for x
    x = 1,872,960.02/1,215
  6. Step 6: Final answer
    x = 1,541.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.