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Finding the Fourth Proportional to 2,242.65, 3,094.74 and 1,457.13

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Solution

The fourth proportional to 2,242.65, 3,094.74 and 1,457.13 is: 2,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.65 : 3,094.74 = 1,457.13 : x
  2. Step 2: Convert to fraction form
    2,242.65/3,094.74 = 1,457.13/x
  3. Step 3: Cross multiply
    2,242.65x = 3,094.74 × 1,457.13
  4. Step 4: Simplify right side
    2,242.65x = 4,509,438.50
  5. Step 5: Solve for x
    x = 4,509,438.50/2,242.65
  6. Step 6: Final answer
    x = 2,010.76

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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.