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Finding the Fourth Proportional to 2,267.96, 3,129.80 and 1,482

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Solution

The fourth proportional to 2,267.96, 3,129.80 and 1,482 is: 2,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.96 : 3,129.80 = 1,482 : x
  2. Step 2: Convert to fraction form
    2,267.96/3,129.80 = 1,482/x
  3. Step 3: Cross multiply
    2,267.96x = 3,129.80 × 1,482
  4. Step 4: Simplify right side
    2,267.96x = 4,638,363.60
  5. Step 5: Solve for x
    x = 4,638,363.60/2,267.96
  6. Step 6: Final answer
    x = 2,045.17

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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.