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Finding the Fourth Proportional to 1,953.41, 2,928.47 and 912.86

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Solution

The fourth proportional to 1,953.41, 2,928.47 and 912.86 is: 1,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.41 : 2,928.47 = 912.86 : x
  2. Step 2: Convert to fraction form
    1,953.41/2,928.47 = 912.86/x
  3. Step 3: Cross multiply
    1,953.41x = 2,928.47 × 912.86
  4. Step 4: Simplify right side
    1,953.41x = 2,673,274.90
  5. Step 5: Solve for x
    x = 2,673,274.90/1,953.41
  6. Step 6: Final answer
    x = 1,368.52

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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.