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Finding the Fourth Proportional to 1,953.42, 2,928.20 and 782.71

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Solution

The fourth proportional to 1,953.42, 2,928.20 and 782.71 is: 1,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.42 : 2,928.20 = 782.71 : x
  2. Step 2: Convert to fraction form
    1,953.42/2,928.20 = 782.71/x
  3. Step 3: Cross multiply
    1,953.42x = 2,928.20 × 782.71
  4. Step 4: Simplify right side
    1,953.42x = 2,291,941.06
  5. Step 5: Solve for x
    x = 2,291,941.06/1,953.42
  6. Step 6: Final answer
    x = 1,173.30

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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.