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Finding the Fourth Proportional to 2,994, 4,131.50 and 1,874.88

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Solution

The fourth proportional to 2,994, 4,131.50 and 1,874.88 is: 2,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994 : 4,131.50 = 1,874.88 : x
  2. Step 2: Convert to fraction form
    2,994/4,131.50 = 1,874.88/x
  3. Step 3: Cross multiply
    2,994x = 4,131.50 × 1,874.88
  4. Step 4: Simplify right side
    2,994x = 7,746,066.72
  5. Step 5: Solve for x
    x = 7,746,066.72/2,994
  6. Step 6: Final answer
    x = 2,587.20

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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.