Home / 2,013.24-3,020.14-714.40

Finding the Fourth Proportional to 2,013.24, 3,020.14 and 714.40

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Solution

The fourth proportional to 2,013.24, 3,020.14 and 714.40 is: 1,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.24 : 3,020.14 = 714.40 : x
  2. Step 2: Convert to fraction form
    2,013.24/3,020.14 = 714.40/x
  3. Step 3: Cross multiply
    2,013.24x = 3,020.14 × 714.40
  4. Step 4: Simplify right side
    2,013.24x = 2,157,588.02
  5. Step 5: Solve for x
    x = 2,157,588.02/2,013.24
  6. Step 6: Final answer
    x = 1,071.70

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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.