Home / 1,530.40-2,295.60-983.20

Finding the Fourth Proportional to 1,530.40, 2,295.60 and 983.20

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Solution

The fourth proportional to 1,530.40, 2,295.60 and 983.20 is: 1,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.40 : 2,295.60 = 983.20 : x
  2. Step 2: Convert to fraction form
    1,530.40/2,295.60 = 983.20/x
  3. Step 3: Cross multiply
    1,530.40x = 2,295.60 × 983.20
  4. Step 4: Simplify right side
    1,530.40x = 2,257,033.92
  5. Step 5: Solve for x
    x = 2,257,033.92/1,530.40
  6. Step 6: Final answer
    x = 1,474.80

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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.