Home / 2,271.16-3,406.27-710.95

Finding the Fourth Proportional to 2,271.16, 3,406.27 and 710.95

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Solution

The fourth proportional to 2,271.16, 3,406.27 and 710.95 is: 1,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.16 : 3,406.27 = 710.95 : x
  2. Step 2: Convert to fraction form
    2,271.16/3,406.27 = 710.95/x
  3. Step 3: Cross multiply
    2,271.16x = 3,406.27 × 710.95
  4. Step 4: Simplify right side
    2,271.16x = 2,421,687.66
  5. Step 5: Solve for x
    x = 2,421,687.66/2,271.16
  6. Step 6: Final answer
    x = 1,066.28

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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.