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Finding the Fourth Proportional to 2,994.19, 4,490.68 and 802.41

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Solution

The fourth proportional to 2,994.19, 4,490.68 and 802.41 is: 1,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.19 : 4,490.68 = 802.41 : x
  2. Step 2: Convert to fraction form
    2,994.19/4,490.68 = 802.41/x
  3. Step 3: Cross multiply
    2,994.19x = 4,490.68 × 802.41
  4. Step 4: Simplify right side
    2,994.19x = 3,603,364.08
  5. Step 5: Solve for x
    x = 3,603,364.08/2,994.19
  6. Step 6: Final answer
    x = 1,203.45

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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.