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Finding the Fourth Proportional to 1,986.32, 2,740.84 and 1,147.16

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Solution

The fourth proportional to 1,986.32, 2,740.84 and 1,147.16 is: 1,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.32 : 2,740.84 = 1,147.16 : x
  2. Step 2: Convert to fraction form
    1,986.32/2,740.84 = 1,147.16/x
  3. Step 3: Cross multiply
    1,986.32x = 2,740.84 × 1,147.16
  4. Step 4: Simplify right side
    1,986.32x = 3,144,186.00
  5. Step 5: Solve for x
    x = 3,144,186.00/1,986.32
  6. Step 6: Final answer
    x = 1,582.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.