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Finding the Fourth Proportional to 2,994.90, 4,491.12 and 1,046.64

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Solution

The fourth proportional to 2,994.90, 4,491.12 and 1,046.64 is: 1,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.90 : 4,491.12 = 1,046.64 : x
  2. Step 2: Convert to fraction form
    2,994.90/4,491.12 = 1,046.64/x
  3. Step 3: Cross multiply
    2,994.90x = 4,491.12 × 1,046.64
  4. Step 4: Simplify right side
    2,994.90x = 4,700,585.84
  5. Step 5: Solve for x
    x = 4,700,585.84/2,994.90
  6. Step 6: Final answer
    x = 1,569.53

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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.