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Finding the Fourth Proportional to 3,045.94, 4,203.40 and 1,648.70

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Solution

The fourth proportional to 3,045.94, 4,203.40 and 1,648.70 is: 2,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.94 : 4,203.40 = 1,648.70 : x
  2. Step 2: Convert to fraction form
    3,045.94/4,203.40 = 1,648.70/x
  3. Step 3: Cross multiply
    3,045.94x = 4,203.40 × 1,648.70
  4. Step 4: Simplify right side
    3,045.94x = 6,930,145.58
  5. Step 5: Solve for x
    x = 6,930,145.58/3,045.94
  6. Step 6: Final answer
    x = 2,275.21

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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.