Home / 1,782.24-2,460.48-1,223.04

Finding the Fourth Proportional to 1,782.24, 2,460.48 and 1,223.04

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Solution

The fourth proportional to 1,782.24, 2,460.48 and 1,223.04 is: 1,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.24 : 2,460.48 = 1,223.04 : x
  2. Step 2: Convert to fraction form
    1,782.24/2,460.48 = 1,223.04/x
  3. Step 3: Cross multiply
    1,782.24x = 2,460.48 × 1,223.04
  4. Step 4: Simplify right side
    1,782.24x = 3,009,265.46
  5. Step 5: Solve for x
    x = 3,009,265.46/1,782.24
  6. Step 6: Final answer
    x = 1,688.47

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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.