Home / 1,502.14-2,253.75-924.34

Finding the Fourth Proportional to 1,502.14, 2,253.75 and 924.34

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Solution

The fourth proportional to 1,502.14, 2,253.75 and 924.34 is: 1,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.14 : 2,253.75 = 924.34 : x
  2. Step 2: Convert to fraction form
    1,502.14/2,253.75 = 924.34/x
  3. Step 3: Cross multiply
    1,502.14x = 2,253.75 × 924.34
  4. Step 4: Simplify right side
    1,502.14x = 2,083,231.28
  5. Step 5: Solve for x
    x = 2,083,231.28/1,502.14
  6. Step 6: Final answer
    x = 1,386.84

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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.