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Finding the Fourth Proportional to 1,561.44, 2,342.16 and 407.18

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Solution

The fourth proportional to 1,561.44, 2,342.16 and 407.18 is: 610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.44 : 2,342.16 = 407.18 : x
  2. Step 2: Convert to fraction form
    1,561.44/2,342.16 = 407.18/x
  3. Step 3: Cross multiply
    1,561.44x = 2,342.16 × 407.18
  4. Step 4: Simplify right side
    1,561.44x = 953,680.71
  5. Step 5: Solve for x
    x = 953,680.71/1,561.44
  6. Step 6: Final answer
    x = 610.77

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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.