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Finding the Fourth Proportional to 2,223.43, 3,066.95 and 1,782.38

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Solution

The fourth proportional to 2,223.43, 3,066.95 and 1,782.38 is: 2,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.43 : 3,066.95 = 1,782.38 : x
  2. Step 2: Convert to fraction form
    2,223.43/3,066.95 = 1,782.38/x
  3. Step 3: Cross multiply
    2,223.43x = 3,066.95 × 1,782.38
  4. Step 4: Simplify right side
    2,223.43x = 5,466,482.46
  5. Step 5: Solve for x
    x = 5,466,482.46/2,223.43
  6. Step 6: Final answer
    x = 2,458.58

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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.