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Finding the Fourth Proportional to 2,046.74, 2,821.43 and 1,603.87

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Solution

The fourth proportional to 2,046.74, 2,821.43 and 1,603.87 is: 2,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.74 : 2,821.43 = 1,603.87 : x
  2. Step 2: Convert to fraction form
    2,046.74/2,821.43 = 1,603.87/x
  3. Step 3: Cross multiply
    2,046.74x = 2,821.43 × 1,603.87
  4. Step 4: Simplify right side
    2,046.74x = 4,525,203.89
  5. Step 5: Solve for x
    x = 4,525,203.89/2,046.74
  6. Step 6: Final answer
    x = 2,210.94

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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.