Home / 2,009.24-3,014.08-710.40

Finding the Fourth Proportional to 2,009.24, 3,014.08 and 710.40

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Solution

The fourth proportional to 2,009.24, 3,014.08 and 710.40 is: 1,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.24 : 3,014.08 = 710.40 : x
  2. Step 2: Convert to fraction form
    2,009.24/3,014.08 = 710.40/x
  3. Step 3: Cross multiply
    2,009.24x = 3,014.08 × 710.40
  4. Step 4: Simplify right side
    2,009.24x = 2,141,202.43
  5. Step 5: Solve for x
    x = 2,141,202.43/2,009.24
  6. Step 6: Final answer
    x = 1,065.68

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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.