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Finding the Fourth Proportional to 1,784.22, 2,461.39 and 1,154.95

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Solution

The fourth proportional to 1,784.22, 2,461.39 and 1,154.95 is: 1,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.22 : 2,461.39 = 1,154.95 : x
  2. Step 2: Convert to fraction form
    1,784.22/2,461.39 = 1,154.95/x
  3. Step 3: Cross multiply
    1,784.22x = 2,461.39 × 1,154.95
  4. Step 4: Simplify right side
    1,784.22x = 2,842,782.38
  5. Step 5: Solve for x
    x = 2,842,782.38/1,784.22
  6. Step 6: Final answer
    x = 1,593.29

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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.