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Finding the Fourth Proportional to 1,784.48, 2,461.72 and 1,195.24

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Solution

The fourth proportional to 1,784.48, 2,461.72 and 1,195.24 is: 1,648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.48 : 2,461.72 = 1,195.24 : x
  2. Step 2: Convert to fraction form
    1,784.48/2,461.72 = 1,195.24/x
  3. Step 3: Cross multiply
    1,784.48x = 2,461.72 × 1,195.24
  4. Step 4: Simplify right side
    1,784.48x = 2,942,346.21
  5. Step 5: Solve for x
    x = 2,942,346.21/1,784.48
  6. Step 6: Final answer
    x = 1,648.85

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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.