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Finding the Fourth Proportional to 1,549.09, 2,323.60 and 379.10

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Solution

The fourth proportional to 1,549.09, 2,323.60 and 379.10 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.09 : 2,323.60 = 379.10 : x
  2. Step 2: Convert to fraction form
    1,549.09/2,323.60 = 379.10/x
  3. Step 3: Cross multiply
    1,549.09x = 2,323.60 × 379.10
  4. Step 4: Simplify right side
    1,549.09x = 880,876.76
  5. Step 5: Solve for x
    x = 880,876.76/1,549.09
  6. Step 6: Final answer
    x = 568.64

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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.