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Finding the Fourth Proportional to 2,970.64, 4,457.40 and 1,994.32

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Solution

The fourth proportional to 2,970.64, 4,457.40 and 1,994.32 is: 2,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.64 : 4,457.40 = 1,994.32 : x
  2. Step 2: Convert to fraction form
    2,970.64/4,457.40 = 1,994.32/x
  3. Step 3: Cross multiply
    2,970.64x = 4,457.40 × 1,994.32
  4. Step 4: Simplify right side
    2,970.64x = 8,889,481.97
  5. Step 5: Solve for x
    x = 8,889,481.97/2,970.64
  6. Step 6: Final answer
    x = 2,992.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.