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Finding the Fourth Proportional to 2,492.55, 3,737.75 and 760.77

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Solution

The fourth proportional to 2,492.55, 3,737.75 and 760.77 is: 1,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.55 : 3,737.75 = 760.77 : x
  2. Step 2: Convert to fraction form
    2,492.55/3,737.75 = 760.77/x
  3. Step 3: Cross multiply
    2,492.55x = 3,737.75 × 760.77
  4. Step 4: Simplify right side
    2,492.55x = 2,843,564.26
  5. Step 5: Solve for x
    x = 2,843,564.26/2,492.55
  6. Step 6: Final answer
    x = 1,140.83

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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.