Home / 1,514.40-2,271.60-964.95

Finding the Fourth Proportional to 1,514.40, 2,271.60 and 964.95

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Solution

The fourth proportional to 1,514.40, 2,271.60 and 964.95 is: 1,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.40 : 2,271.60 = 964.95 : x
  2. Step 2: Convert to fraction form
    1,514.40/2,271.60 = 964.95/x
  3. Step 3: Cross multiply
    1,514.40x = 2,271.60 × 964.95
  4. Step 4: Simplify right side
    1,514.40x = 2,191,980.42
  5. Step 5: Solve for x
    x = 2,191,980.42/1,514.40
  6. Step 6: Final answer
    x = 1,447.43

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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.