Home / 1,824.34-2,517-1,038.23

Finding the Fourth Proportional to 1,824.34, 2,517 and 1,038.23

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Solution

The fourth proportional to 1,824.34, 2,517 and 1,038.23 is: 1,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.34 : 2,517 = 1,038.23 : x
  2. Step 2: Convert to fraction form
    1,824.34/2,517 = 1,038.23/x
  3. Step 3: Cross multiply
    1,824.34x = 2,517 × 1,038.23
  4. Step 4: Simplify right side
    1,824.34x = 2,613,224.91
  5. Step 5: Solve for x
    x = 2,613,224.91/1,824.34
  6. Step 6: Final answer
    x = 1,432.42

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1.5x scale

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.