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Finding the Fourth Proportional to 2,604.76, 3,905.60 and 1,045.50

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Solution

The fourth proportional to 2,604.76, 3,905.60 and 1,045.50 is: 1,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.76 : 3,905.60 = 1,045.50 : x
  2. Step 2: Convert to fraction form
    2,604.76/3,905.60 = 1,045.50/x
  3. Step 3: Cross multiply
    2,604.76x = 3,905.60 × 1,045.50
  4. Step 4: Simplify right side
    2,604.76x = 4,083,302.19
  5. Step 5: Solve for x
    x = 4,083,302.19/2,604.76
  6. Step 6: Final answer
    x = 1,567.63

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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.