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Finding the Fourth Proportional to 2,852.01, 4,277.34 and 877.37

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Solution

The fourth proportional to 2,852.01, 4,277.34 and 877.37 is: 1,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.01 : 4,277.34 = 877.37 : x
  2. Step 2: Convert to fraction form
    2,852.01/4,277.34 = 877.37/x
  3. Step 3: Cross multiply
    2,852.01x = 4,277.34 × 877.37
  4. Step 4: Simplify right side
    2,852.01x = 3,752,788.41
  5. Step 5: Solve for x
    x = 3,752,788.41/2,852.01
  6. Step 6: Final answer
    x = 1,315.84

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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.