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Finding the Fourth Proportional to 2,602.53, 3,898.33 and 1,776.94

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Solution

The fourth proportional to 2,602.53, 3,898.33 and 1,776.94 is: 2,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.53 : 3,898.33 = 1,776.94 : x
  2. Step 2: Convert to fraction form
    2,602.53/3,898.33 = 1,776.94/x
  3. Step 3: Cross multiply
    2,602.53x = 3,898.33 × 1,776.94
  4. Step 4: Simplify right side
    2,602.53x = 6,927,084.32
  5. Step 5: Solve for x
    x = 6,927,084.32/2,602.53
  6. Step 6: Final answer
    x = 2,661.67

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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.