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Finding the Fourth Proportional to 2,509.50, 3,765.04 and 1,124

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Solution

The fourth proportional to 2,509.50, 3,765.04 and 1,124 is: 1,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.50 : 3,765.04 = 1,124 : x
  2. Step 2: Convert to fraction form
    2,509.50/3,765.04 = 1,124/x
  3. Step 3: Cross multiply
    2,509.50x = 3,765.04 × 1,124
  4. Step 4: Simplify right side
    2,509.50x = 4,231,904.96
  5. Step 5: Solve for x
    x = 4,231,904.96/2,509.50
  6. Step 6: Final answer
    x = 1,686.35

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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.