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Finding the Fourth Proportional to 2,130.84, 3,194.64 and 1,265.76

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Solution

The fourth proportional to 2,130.84, 3,194.64 and 1,265.76 is: 1,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.84 : 3,194.64 = 1,265.76 : x
  2. Step 2: Convert to fraction form
    2,130.84/3,194.64 = 1,265.76/x
  3. Step 3: Cross multiply
    2,130.84x = 3,194.64 × 1,265.76
  4. Step 4: Simplify right side
    2,130.84x = 4,043,647.53
  5. Step 5: Solve for x
    x = 4,043,647.53/2,130.84
  6. Step 6: Final answer
    x = 1,897.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.