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Finding the Fourth Proportional to 2,993, 4,130.82 and 1,750.76

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Solution

The fourth proportional to 2,993, 4,130.82 and 1,750.76 is: 2,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993 : 4,130.82 = 1,750.76 : x
  2. Step 2: Convert to fraction form
    2,993/4,130.82 = 1,750.76/x
  3. Step 3: Cross multiply
    2,993x = 4,130.82 × 1,750.76
  4. Step 4: Simplify right side
    2,993x = 7,232,074.42
  5. Step 5: Solve for x
    x = 7,232,074.42/2,993
  6. Step 6: Final answer
    x = 2,416.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.