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Finding the Fourth Proportional to 2,970.58, 4,457.43 and 1,740.40

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Solution

The fourth proportional to 2,970.58, 4,457.43 and 1,740.40 is: 2,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.58 : 4,457.43 = 1,740.40 : x
  2. Step 2: Convert to fraction form
    2,970.58/4,457.43 = 1,740.40/x
  3. Step 3: Cross multiply
    2,970.58x = 4,457.43 × 1,740.40
  4. Step 4: Simplify right side
    2,970.58x = 7,757,711.17
  5. Step 5: Solve for x
    x = 7,757,711.17/2,970.58
  6. Step 6: Final answer
    x = 2,611.51

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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.