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Finding the Fourth Proportional to 3,046.19, 4,203.74 and 1,648.94

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Solution

The fourth proportional to 3,046.19, 4,203.74 and 1,648.94 is: 2,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.19 : 4,203.74 = 1,648.94 : x
  2. Step 2: Convert to fraction form
    3,046.19/4,203.74 = 1,648.94/x
  3. Step 3: Cross multiply
    3,046.19x = 4,203.74 × 1,648.94
  4. Step 4: Simplify right side
    3,046.19x = 6,931,685.77
  5. Step 5: Solve for x
    x = 6,931,685.77/3,046.19
  6. Step 6: Final answer
    x = 2,275.53

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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.