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Finding the Fourth Proportional to 2,134.73, 2,946.20 and 1,295.76

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Solution

The fourth proportional to 2,134.73, 2,946.20 and 1,295.76 is: 1,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.73 : 2,946.20 = 1,295.76 : x
  2. Step 2: Convert to fraction form
    2,134.73/2,946.20 = 1,295.76/x
  3. Step 3: Cross multiply
    2,134.73x = 2,946.20 × 1,295.76
  4. Step 4: Simplify right side
    2,134.73x = 3,817,561.63
  5. Step 5: Solve for x
    x = 3,817,561.63/2,134.73
  6. Step 6: Final answer
    x = 1,788.32

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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.