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Finding the Fourth Proportional to 2,102.00, 2,900.71 and 1,157.74

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Solution

The fourth proportional to 2,102.00, 2,900.71 and 1,157.74 is: 1,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.00 : 2,900.71 = 1,157.74 : x
  2. Step 2: Convert to fraction form
    2,102.00/2,900.71 = 1,157.74/x
  3. Step 3: Cross multiply
    2,102.00x = 2,900.71 × 1,157.74
  4. Step 4: Simplify right side
    2,102.00x = 3,358,253.49
  5. Step 5: Solve for x
    x = 3,358,253.49/2,102.00
  6. Step 6: Final answer
    x = 1,597.65

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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.