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Finding the Fourth Proportional to 2,871.52, 4,307.78 and 1,777.10

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Solution

The fourth proportional to 2,871.52, 4,307.78 and 1,777.10 is: 2,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.52 : 4,307.78 = 1,777.10 : x
  2. Step 2: Convert to fraction form
    2,871.52/4,307.78 = 1,777.10/x
  3. Step 3: Cross multiply
    2,871.52x = 4,307.78 × 1,777.10
  4. Step 4: Simplify right side
    2,871.52x = 7,655,355.84
  5. Step 5: Solve for x
    x = 7,655,355.84/2,871.52
  6. Step 6: Final answer
    x = 2,665.96

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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.