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Finding the Fourth Proportional to 2,703.52, 3,730.80 and 1,773.60

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Solution

The fourth proportional to 2,703.52, 3,730.80 and 1,773.60 is: 2,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.52 : 3,730.80 = 1,773.60 : x
  2. Step 2: Convert to fraction form
    2,703.52/3,730.80 = 1,773.60/x
  3. Step 3: Cross multiply
    2,703.52x = 3,730.80 × 1,773.60
  4. Step 4: Simplify right side
    2,703.52x = 6,616,946.88
  5. Step 5: Solve for x
    x = 6,616,946.88/2,703.52
  6. Step 6: Final answer
    x = 2,447.53

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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.