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Finding the Fourth Proportional to 1,852.45, 2,777.30 and 877.41

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Solution

The fourth proportional to 1,852.45, 2,777.30 and 877.41 is: 1,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.45 : 2,777.30 = 877.41 : x
  2. Step 2: Convert to fraction form
    1,852.45/2,777.30 = 877.41/x
  3. Step 3: Cross multiply
    1,852.45x = 2,777.30 × 877.41
  4. Step 4: Simplify right side
    1,852.45x = 2,436,830.79
  5. Step 5: Solve for x
    x = 2,436,830.79/1,852.45
  6. Step 6: Final answer
    x = 1,315.46

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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.