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Finding the Fourth Proportional to 2,766.80, 3,814.28 and 1,718.16

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Solution

The fourth proportional to 2,766.80, 3,814.28 and 1,718.16 is: 2,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.80 : 3,814.28 = 1,718.16 : x
  2. Step 2: Convert to fraction form
    2,766.80/3,814.28 = 1,718.16/x
  3. Step 3: Cross multiply
    2,766.80x = 3,814.28 × 1,718.16
  4. Step 4: Simplify right side
    2,766.80x = 6,553,543.32
  5. Step 5: Solve for x
    x = 6,553,543.32/2,766.80
  6. Step 6: Final answer
    x = 2,368.64

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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.