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Finding the Fourth Proportional to 2,140.66, 2,953.95 and 1,256.34

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Solution

The fourth proportional to 2,140.66, 2,953.95 and 1,256.34 is: 1,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.66 : 2,953.95 = 1,256.34 : x
  2. Step 2: Convert to fraction form
    2,140.66/2,953.95 = 1,256.34/x
  3. Step 3: Cross multiply
    2,140.66x = 2,953.95 × 1,256.34
  4. Step 4: Simplify right side
    2,140.66x = 3,711,165.54
  5. Step 5: Solve for x
    x = 3,711,165.54/2,140.66
  6. Step 6: Final answer
    x = 1,733.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.