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Finding the Fourth Proportional to 3,046.16, 4,203.69 and 1,648.91

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Solution

The fourth proportional to 3,046.16, 4,203.69 and 1,648.91 is: 2,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.16 : 4,203.69 = 1,648.91 : x
  2. Step 2: Convert to fraction form
    3,046.16/4,203.69 = 1,648.91/x
  3. Step 3: Cross multiply
    3,046.16x = 4,203.69 × 1,648.91
  4. Step 4: Simplify right side
    3,046.16x = 6,931,506.48
  5. Step 5: Solve for x
    x = 6,931,506.48/3,046.16
  6. Step 6: Final answer
    x = 2,275.49

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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.