Home / 1,417.13-2,125.73-493.75

Finding the Fourth Proportional to 1,417.13, 2,125.73 and 493.75

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Solution

The fourth proportional to 1,417.13, 2,125.73 and 493.75 is: 740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.13 : 2,125.73 = 493.75 : x
  2. Step 2: Convert to fraction form
    1,417.13/2,125.73 = 493.75/x
  3. Step 3: Cross multiply
    1,417.13x = 2,125.73 × 493.75
  4. Step 4: Simplify right side
    1,417.13x = 1,049,579.19
  5. Step 5: Solve for x
    x = 1,049,579.19/1,417.13
  6. Step 6: Final answer
    x = 740.64

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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.