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Finding the Fourth Proportional to 2,041.76, 3,046.98 and 1,823.06

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Solution

The fourth proportional to 2,041.76, 3,046.98 and 1,823.06 is: 2,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.76 : 3,046.98 = 1,823.06 : x
  2. Step 2: Convert to fraction form
    2,041.76/3,046.98 = 1,823.06/x
  3. Step 3: Cross multiply
    2,041.76x = 3,046.98 × 1,823.06
  4. Step 4: Simplify right side
    2,041.76x = 5,554,818.24
  5. Step 5: Solve for x
    x = 5,554,818.24/2,041.76
  6. Step 6: Final answer
    x = 2,720.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.