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Finding the Fourth Proportional to 1,544.08, 2,314.68 and 619.48

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Solution

The fourth proportional to 1,544.08, 2,314.68 and 619.48 is: 928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.08 : 2,314.68 = 619.48 : x
  2. Step 2: Convert to fraction form
    1,544.08/2,314.68 = 619.48/x
  3. Step 3: Cross multiply
    1,544.08x = 2,314.68 × 619.48
  4. Step 4: Simplify right side
    1,544.08x = 1,433,897.97
  5. Step 5: Solve for x
    x = 1,433,897.97/1,544.08
  6. Step 6: Final answer
    x = 928.64

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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.