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Finding the Fourth Proportional to 1,561.34, 2,342.04 and 407.06

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Solution

The fourth proportional to 1,561.34, 2,342.04 and 407.06 is: 610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.34 : 2,342.04 = 407.06 : x
  2. Step 2: Convert to fraction form
    1,561.34/2,342.04 = 407.06/x
  3. Step 3: Cross multiply
    1,561.34x = 2,342.04 × 407.06
  4. Step 4: Simplify right side
    1,561.34x = 953,350.80
  5. Step 5: Solve for x
    x = 953,350.80/1,561.34
  6. Step 6: Final answer
    x = 610.60

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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.