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Finding the Fourth Proportional to 2,895.60, 4,343.73 and 947.82

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Solution

The fourth proportional to 2,895.60, 4,343.73 and 947.82 is: 1,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.60 : 4,343.73 = 947.82 : x
  2. Step 2: Convert to fraction form
    2,895.60/4,343.73 = 947.82/x
  3. Step 3: Cross multiply
    2,895.60x = 4,343.73 × 947.82
  4. Step 4: Simplify right side
    2,895.60x = 4,117,074.17
  5. Step 5: Solve for x
    x = 4,117,074.17/2,895.60
  6. Step 6: Final answer
    x = 1,421.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.