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Finding the Fourth Proportional to 2,552.65, 3,830.19 and 1,457.40

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Solution

The fourth proportional to 2,552.65, 3,830.19 and 1,457.40 is: 2,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.65 : 3,830.19 = 1,457.40 : x
  2. Step 2: Convert to fraction form
    2,552.65/3,830.19 = 1,457.40/x
  3. Step 3: Cross multiply
    2,552.65x = 3,830.19 × 1,457.40
  4. Step 4: Simplify right side
    2,552.65x = 5,582,118.91
  5. Step 5: Solve for x
    x = 5,582,118.91/2,552.65
  6. Step 6: Final answer
    x = 2,186.79

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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.