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Finding the Fourth Proportional to 2,505.84, 3,760.38 and 1,046.22

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Solution

The fourth proportional to 2,505.84, 3,760.38 and 1,046.22 is: 1,570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.84 : 3,760.38 = 1,046.22 : x
  2. Step 2: Convert to fraction form
    2,505.84/3,760.38 = 1,046.22/x
  3. Step 3: Cross multiply
    2,505.84x = 3,760.38 × 1,046.22
  4. Step 4: Simplify right side
    2,505.84x = 3,934,184.76
  5. Step 5: Solve for x
    x = 3,934,184.76/2,505.84
  6. Step 6: Final answer
    x = 1,570.01

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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.