Home / 1,601.60-2,402.40-983.30

Finding the Fourth Proportional to 1,601.60, 2,402.40 and 983.30

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Solution

The fourth proportional to 1,601.60, 2,402.40 and 983.30 is: 1,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.60 : 2,402.40 = 983.30 : x
  2. Step 2: Convert to fraction form
    1,601.60/2,402.40 = 983.30/x
  3. Step 3: Cross multiply
    1,601.60x = 2,402.40 × 983.30
  4. Step 4: Simplify right side
    1,601.60x = 2,362,279.92
  5. Step 5: Solve for x
    x = 2,362,279.92/1,601.60
  6. Step 6: Final answer
    x = 1,474.95

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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.