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Finding the Fourth Proportional to 1,534.97, 2,302.46 and 610.47

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Solution

The fourth proportional to 1,534.97, 2,302.46 and 610.47 is: 915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.97 : 2,302.46 = 610.47 : x
  2. Step 2: Convert to fraction form
    1,534.97/2,302.46 = 610.47/x
  3. Step 3: Cross multiply
    1,534.97x = 2,302.46 × 610.47
  4. Step 4: Simplify right side
    1,534.97x = 1,405,582.76
  5. Step 5: Solve for x
    x = 1,405,582.76/1,534.97
  6. Step 6: Final answer
    x = 915.71

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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.