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Finding the Fourth Proportional to 1,561.70, 2,342.34 and 407.45

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Solution

The fourth proportional to 1,561.70, 2,342.34 and 407.45 is: 611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.70 : 2,342.34 = 407.45 : x
  2. Step 2: Convert to fraction form
    1,561.70/2,342.34 = 407.45/x
  3. Step 3: Cross multiply
    1,561.70x = 2,342.34 × 407.45
  4. Step 4: Simplify right side
    1,561.70x = 954,374.72
  5. Step 5: Solve for x
    x = 954,374.72/1,561.70
  6. Step 6: Final answer
    x = 611.11

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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.