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Finding the Fourth Proportional to 2,835.94, 4,248.42 and 2,252.02

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Solution

The fourth proportional to 2,835.94, 4,248.42 and 2,252.02 is: 3,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.94 : 4,248.42 = 2,252.02 : x
  2. Step 2: Convert to fraction form
    2,835.94/4,248.42 = 2,252.02/x
  3. Step 3: Cross multiply
    2,835.94x = 4,248.42 × 2,252.02
  4. Step 4: Simplify right side
    2,835.94x = 9,567,526.81
  5. Step 5: Solve for x
    x = 9,567,526.81/2,835.94
  6. Step 6: Final answer
    x = 3,373.67

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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.