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Finding the Fourth Proportional to 2,455.83, 3,683.75 and 606.98

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Solution

The fourth proportional to 2,455.83, 3,683.75 and 606.98 is: 910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.83 : 3,683.75 = 606.98 : x
  2. Step 2: Convert to fraction form
    2,455.83/3,683.75 = 606.98/x
  3. Step 3: Cross multiply
    2,455.83x = 3,683.75 × 606.98
  4. Step 4: Simplify right side
    2,455.83x = 2,235,941.12
  5. Step 5: Solve for x
    x = 2,235,941.12/2,455.83
  6. Step 6: Final answer
    x = 910.46

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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.