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Finding the Fourth Proportional to 2,784.36, 4,152.93 and 2,348.49

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Solution

The fourth proportional to 2,784.36, 4,152.93 and 2,348.49 is: 3,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.36 : 4,152.93 = 2,348.49 : x
  2. Step 2: Convert to fraction form
    2,784.36/4,152.93 = 2,348.49/x
  3. Step 3: Cross multiply
    2,784.36x = 4,152.93 × 2,348.49
  4. Step 4: Simplify right side
    2,784.36x = 9,753,114.58
  5. Step 5: Solve for x
    x = 9,753,114.58/2,784.36
  6. Step 6: Final answer
    x = 3,502.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.