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Finding the Fourth Proportional to 1,561.84, 2,342.58 and 407.68

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Solution

The fourth proportional to 1,561.84, 2,342.58 and 407.68 is: 611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.84 : 2,342.58 = 407.68 : x
  2. Step 2: Convert to fraction form
    1,561.84/2,342.58 = 407.68/x
  3. Step 3: Cross multiply
    1,561.84x = 2,342.58 × 407.68
  4. Step 4: Simplify right side
    1,561.84x = 955,023.01
  5. Step 5: Solve for x
    x = 955,023.01/1,561.84
  6. Step 6: Final answer
    x = 611.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.