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Finding the Fourth Proportional to 2,455.70, 3,683.64 and 975.20

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Solution

The fourth proportional to 2,455.70, 3,683.64 and 975.20 is: 1,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.70 : 3,683.64 = 975.20 : x
  2. Step 2: Convert to fraction form
    2,455.70/3,683.64 = 975.20/x
  3. Step 3: Cross multiply
    2,455.70x = 3,683.64 × 975.20
  4. Step 4: Simplify right side
    2,455.70x = 3,592,285.73
  5. Step 5: Solve for x
    x = 3,592,285.73/2,455.70
  6. Step 6: Final answer
    x = 1,462.84

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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.