Home / 2,032.24-3,045.49-962.53

Finding the Fourth Proportional to 2,032.24, 3,045.49 and 962.53

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Solution

The fourth proportional to 2,032.24, 3,045.49 and 962.53 is: 1,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.24 : 3,045.49 = 962.53 : x
  2. Step 2: Convert to fraction form
    2,032.24/3,045.49 = 962.53/x
  3. Step 3: Cross multiply
    2,032.24x = 3,045.49 × 962.53
  4. Step 4: Simplify right side
    2,032.24x = 2,931,392.92
  5. Step 5: Solve for x
    x = 2,931,392.92/2,032.24
  6. Step 6: Final answer
    x = 1,442.44

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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.