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Finding the Fourth Proportional to 1,124.12, 1,684.80 and 919.10

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Solution

The fourth proportional to 1,124.12, 1,684.80 and 919.10 is: 1,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.12 : 1,684.80 = 919.10 : x
  2. Step 2: Convert to fraction form
    1,124.12/1,684.80 = 919.10/x
  3. Step 3: Cross multiply
    1,124.12x = 1,684.80 × 919.10
  4. Step 4: Simplify right side
    1,124.12x = 1,548,499.68
  5. Step 5: Solve for x
    x = 1,548,499.68/1,124.12
  6. Step 6: Final answer
    x = 1,377.52

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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.