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Finding the Fourth Proportional to 2,266.30, 3,128.79 and 1,559.17

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Solution

The fourth proportional to 2,266.30, 3,128.79 and 1,559.17 is: 2,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.30 : 3,128.79 = 1,559.17 : x
  2. Step 2: Convert to fraction form
    2,266.30/3,128.79 = 1,559.17/x
  3. Step 3: Cross multiply
    2,266.30x = 3,128.79 × 1,559.17
  4. Step 4: Simplify right side
    2,266.30x = 4,878,315.50
  5. Step 5: Solve for x
    x = 4,878,315.50/2,266.30
  6. Step 6: Final answer
    x = 2,152.55

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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.