Home / 2,289.26-3,434.51-973.08

Finding the Fourth Proportional to 2,289.26, 3,434.51 and 973.08

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Solution

The fourth proportional to 2,289.26, 3,434.51 and 973.08 is: 1,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.26 : 3,434.51 = 973.08 : x
  2. Step 2: Convert to fraction form
    2,289.26/3,434.51 = 973.08/x
  3. Step 3: Cross multiply
    2,289.26x = 3,434.51 × 973.08
  4. Step 4: Simplify right side
    2,289.26x = 3,342,055.42
  5. Step 5: Solve for x
    x = 3,342,055.42/2,289.26
  6. Step 6: Final answer
    x = 1,459.88

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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.