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Finding the Fourth Proportional to 2,994, 4,131.72 and 1,752

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Solution

The fourth proportional to 2,994, 4,131.72 and 1,752 is: 2,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994 : 4,131.72 = 1,752 : x
  2. Step 2: Convert to fraction form
    2,994/4,131.72 = 1,752/x
  3. Step 3: Cross multiply
    2,994x = 4,131.72 × 1,752
  4. Step 4: Simplify right side
    2,994x = 7,238,773.44
  5. Step 5: Solve for x
    x = 7,238,773.44/2,994
  6. Step 6: Final answer
    x = 2,417.76

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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.