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Finding the Fourth Proportional to 1,544, 2,315.20 and 619.52

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Solution

The fourth proportional to 1,544, 2,315.20 and 619.52 is: 928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544 : 2,315.20 = 619.52 : x
  2. Step 2: Convert to fraction form
    1,544/2,315.20 = 619.52/x
  3. Step 3: Cross multiply
    1,544x = 2,315.20 × 619.52
  4. Step 4: Simplify right side
    1,544x = 1,434,312.70
  5. Step 5: Solve for x
    x = 1,434,312.70/1,544
  6. Step 6: Final answer
    x = 928.96

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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.