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Finding the Fourth Proportional to 2,455.68, 3,683.64 and 1,068

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Solution

The fourth proportional to 2,455.68, 3,683.64 and 1,068 is: 1,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.68 : 3,683.64 = 1,068 : x
  2. Step 2: Convert to fraction form
    2,455.68/3,683.64 = 1,068/x
  3. Step 3: Cross multiply
    2,455.68x = 3,683.64 × 1,068
  4. Step 4: Simplify right side
    2,455.68x = 3,934,127.52
  5. Step 5: Solve for x
    x = 3,934,127.52/2,455.68
  6. Step 6: Final answer
    x = 1,602.05

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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.