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Finding the Fourth Proportional to 2,041.47, 3,064.70 and 1,348.72

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Solution

The fourth proportional to 2,041.47, 3,064.70 and 1,348.72 is: 2,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.47 : 3,064.70 = 1,348.72 : x
  2. Step 2: Convert to fraction form
    2,041.47/3,064.70 = 1,348.72/x
  3. Step 3: Cross multiply
    2,041.47x = 3,064.70 × 1,348.72
  4. Step 4: Simplify right side
    2,041.47x = 4,133,422.18
  5. Step 5: Solve for x
    x = 4,133,422.18/2,041.47
  6. Step 6: Final answer
    x = 2,024.73

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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.