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Finding the Fourth Proportional to 2,242.16, 3,360.70 and 1,144.20

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Solution

The fourth proportional to 2,242.16, 3,360.70 and 1,144.20 is: 1,715.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.16 : 3,360.70 = 1,144.20 : x
  2. Step 2: Convert to fraction form
    2,242.16/3,360.70 = 1,144.20/x
  3. Step 3: Cross multiply
    2,242.16x = 3,360.70 × 1,144.20
  4. Step 4: Simplify right side
    2,242.16x = 3,845,312.94
  5. Step 5: Solve for x
    x = 3,845,312.94/2,242.16
  6. Step 6: Final answer
    x = 1,715.00

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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.