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Finding the Fourth Proportional to 1,559.41, 2,339.11 and 405.16

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Solution

The fourth proportional to 1,559.41, 2,339.11 and 405.16 is: 607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.41 : 2,339.11 = 405.16 : x
  2. Step 2: Convert to fraction form
    1,559.41/2,339.11 = 405.16/x
  3. Step 3: Cross multiply
    1,559.41x = 2,339.11 × 405.16
  4. Step 4: Simplify right side
    1,559.41x = 947,713.81
  5. Step 5: Solve for x
    x = 947,713.81/1,559.41
  6. Step 6: Final answer
    x = 607.74

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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.