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Finding the Fourth Proportional to 2,140.39, 2,953.74 and 1,256.20

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Solution

The fourth proportional to 2,140.39, 2,953.74 and 1,256.20 is: 1,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.39 : 2,953.74 = 1,256.20 : x
  2. Step 2: Convert to fraction form
    2,140.39/2,953.74 = 1,256.20/x
  3. Step 3: Cross multiply
    2,140.39x = 2,953.74 × 1,256.20
  4. Step 4: Simplify right side
    2,140.39x = 3,710,488.19
  5. Step 5: Solve for x
    x = 3,710,488.19/2,140.39
  6. Step 6: Final answer
    x = 1,733.56

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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.