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Finding the Fourth Proportional to 2,417.04, 3,625.07 and 955.85

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Solution

The fourth proportional to 2,417.04, 3,625.07 and 955.85 is: 1,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.04 : 3,625.07 = 955.85 : x
  2. Step 2: Convert to fraction form
    2,417.04/3,625.07 = 955.85/x
  3. Step 3: Cross multiply
    2,417.04x = 3,625.07 × 955.85
  4. Step 4: Simplify right side
    2,417.04x = 3,465,000.25
  5. Step 5: Solve for x
    x = 3,465,000.25/2,417.04
  6. Step 6: Final answer
    x = 1,433.57

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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.