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Finding the Fourth Proportional to 2,170.64, 2,994.36 and 1,472.24

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Solution

The fourth proportional to 2,170.64, 2,994.36 and 1,472.24 is: 2,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.64 : 2,994.36 = 1,472.24 : x
  2. Step 2: Convert to fraction form
    2,170.64/2,994.36 = 1,472.24/x
  3. Step 3: Cross multiply
    2,170.64x = 2,994.36 × 1,472.24
  4. Step 4: Simplify right side
    2,170.64x = 4,408,416.57
  5. Step 5: Solve for x
    x = 4,408,416.57/2,170.64
  6. Step 6: Final answer
    x = 2,030.93

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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.