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Finding the Fourth Proportional to 1,953.72, 2,929.53 and 856.82

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Solution

The fourth proportional to 1,953.72, 2,929.53 and 856.82 is: 1,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.72 : 2,929.53 = 856.82 : x
  2. Step 2: Convert to fraction form
    1,953.72/2,929.53 = 856.82/x
  3. Step 3: Cross multiply
    1,953.72x = 2,929.53 × 856.82
  4. Step 4: Simplify right side
    1,953.72x = 2,510,065.25
  5. Step 5: Solve for x
    x = 2,510,065.25/1,953.72
  6. Step 6: Final answer
    x = 1,284.76

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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.