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Finding the Fourth Proportional to 2,920.57, 4,376.59 and 1,457.71

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Solution

The fourth proportional to 2,920.57, 4,376.59 and 1,457.71 is: 2,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.57 : 4,376.59 = 1,457.71 : x
  2. Step 2: Convert to fraction form
    2,920.57/4,376.59 = 1,457.71/x
  3. Step 3: Cross multiply
    2,920.57x = 4,376.59 × 1,457.71
  4. Step 4: Simplify right side
    2,920.57x = 6,379,799.01
  5. Step 5: Solve for x
    x = 6,379,799.01/2,920.57
  6. Step 6: Final answer
    x = 2,184.44

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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.