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Finding the Fourth Proportional to 2,914.48, 4,373.08 and 1,182.80

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Solution

The fourth proportional to 2,914.48, 4,373.08 and 1,182.80 is: 1,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.48 : 4,373.08 = 1,182.80 : x
  2. Step 2: Convert to fraction form
    2,914.48/4,373.08 = 1,182.80/x
  3. Step 3: Cross multiply
    2,914.48x = 4,373.08 × 1,182.80
  4. Step 4: Simplify right side
    2,914.48x = 5,172,479.02
  5. Step 5: Solve for x
    x = 5,172,479.02/2,914.48
  6. Step 6: Final answer
    x = 1,774.75

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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.