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Finding the Fourth Proportional to 1,615.95, 2,406.71 and 1,558.54

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Solution

The fourth proportional to 1,615.95, 2,406.71 and 1,558.54 is: 2,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.95 : 2,406.71 = 1,558.54 : x
  2. Step 2: Convert to fraction form
    1,615.95/2,406.71 = 1,558.54/x
  3. Step 3: Cross multiply
    1,615.95x = 2,406.71 × 1,558.54
  4. Step 4: Simplify right side
    1,615.95x = 3,750,960.71
  5. Step 5: Solve for x
    x = 3,750,960.71/1,615.95
  6. Step 6: Final answer
    x = 2,321.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.