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Finding the Fourth Proportional to 2,871.59, 4,307.06 and 923.63

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Solution

The fourth proportional to 2,871.59, 4,307.06 and 923.63 is: 1,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.59 : 4,307.06 = 923.63 : x
  2. Step 2: Convert to fraction form
    2,871.59/4,307.06 = 923.63/x
  3. Step 3: Cross multiply
    2,871.59x = 4,307.06 × 923.63
  4. Step 4: Simplify right side
    2,871.59x = 3,978,110.60
  5. Step 5: Solve for x
    x = 3,978,110.60/2,871.59
  6. Step 6: Final answer
    x = 1,385.34

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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.