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Finding the Fourth Proportional to 1,988.55, 2,986.47 and 1,296

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Solution

The fourth proportional to 1,988.55, 2,986.47 and 1,296 is: 1,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.55 : 2,986.47 = 1,296 : x
  2. Step 2: Convert to fraction form
    1,988.55/2,986.47 = 1,296/x
  3. Step 3: Cross multiply
    1,988.55x = 2,986.47 × 1,296
  4. Step 4: Simplify right side
    1,988.55x = 3,870,465.12
  5. Step 5: Solve for x
    x = 3,870,465.12/1,988.55
  6. Step 6: Final answer
    x = 1,946.38

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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.