Home / 2,225.64-3,071.30-1,440.14

Finding the Fourth Proportional to 2,225.64, 3,071.30 and 1,440.14

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Solution

The fourth proportional to 2,225.64, 3,071.30 and 1,440.14 is: 1,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.64 : 3,071.30 = 1,440.14 : x
  2. Step 2: Convert to fraction form
    2,225.64/3,071.30 = 1,440.14/x
  3. Step 3: Cross multiply
    2,225.64x = 3,071.30 × 1,440.14
  4. Step 4: Simplify right side
    2,225.64x = 4,423,101.98
  5. Step 5: Solve for x
    x = 4,423,101.98/2,225.64
  6. Step 6: Final answer
    x = 1,987.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.