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Finding the Fourth Proportional to 2,170.04, 2,994.72 and 1,225.88

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Solution

The fourth proportional to 2,170.04, 2,994.72 and 1,225.88 is: 1,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.04 : 2,994.72 = 1,225.88 : x
  2. Step 2: Convert to fraction form
    2,170.04/2,994.72 = 1,225.88/x
  3. Step 3: Cross multiply
    2,170.04x = 2,994.72 × 1,225.88
  4. Step 4: Simplify right side
    2,170.04x = 3,671,167.35
  5. Step 5: Solve for x
    x = 3,671,167.35/2,170.04
  6. Step 6: Final answer
    x = 1,691.75

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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.