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Finding the Fourth Proportional to 1,941.58, 2,911.48 and 625.10

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Solution

The fourth proportional to 1,941.58, 2,911.48 and 625.10 is: 937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.58 : 2,911.48 = 625.10 : x
  2. Step 2: Convert to fraction form
    1,941.58/2,911.48 = 625.10/x
  3. Step 3: Cross multiply
    1,941.58x = 2,911.48 × 625.10
  4. Step 4: Simplify right side
    1,941.58x = 1,819,950.03
  5. Step 5: Solve for x
    x = 1,819,950.03/1,941.58
  6. Step 6: Final answer
    x = 937.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.