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Finding the Fourth Proportional to 2,756.40, 4,134.12 and 808.16

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Solution

The fourth proportional to 2,756.40, 4,134.12 and 808.16 is: 1,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.40 : 4,134.12 = 808.16 : x
  2. Step 2: Convert to fraction form
    2,756.40/4,134.12 = 808.16/x
  3. Step 3: Cross multiply
    2,756.40x = 4,134.12 × 808.16
  4. Step 4: Simplify right side
    2,756.40x = 3,341,030.42
  5. Step 5: Solve for x
    x = 3,341,030.42/2,756.40
  6. Step 6: Final answer
    x = 1,212.10

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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.