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Finding the Fourth Proportional to 2,102.17, 2,900.76 and 1,262.71

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Solution

The fourth proportional to 2,102.17, 2,900.76 and 1,262.71 is: 1,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.17 : 2,900.76 = 1,262.71 : x
  2. Step 2: Convert to fraction form
    2,102.17/2,900.76 = 1,262.71/x
  3. Step 3: Cross multiply
    2,102.17x = 2,900.76 × 1,262.71
  4. Step 4: Simplify right side
    2,102.17x = 3,662,818.66
  5. Step 5: Solve for x
    x = 3,662,818.66/2,102.17
  6. Step 6: Final answer
    x = 1,742.40

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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.